As we embark upon resolution of the thorny questions presented by this appeal, it is appropriate that we keep in mind that “[c]onstitutional adjudication does not lend itself to the absolutes of the physical sciences or mathematics.” Tilton v. Richardson, 403 U.S. 672, 678, 91 S.Ct. 2091, 29 L.Ed.2d 790 (1971). The controversy before us patently reflects this truth.
The issues raised require us to consider the sometime competing values found in the Religion Clauses of the First Amendment of the Constitution1 — otherwise described as “the internal tension in the First Amendment between the Establishment Clause and the Free Exercise Clause.” Id. at 677, 91 S.Ct. 2091. “[Bjoth are cast in absolute terms, ... either of which, if expanded to a logical extreme, would tend to clash with the other.” Walz v. Tax Commission, 397 U.S. 664, 668-69, 90 S.Ct. 1409, 25 L.Ed.2d 697 (1970).
BACKGROUND
Maine has enacted a statute providing schooling for those students who live in communities that do not have public education facilities because of insufficient student density.2 For these students, the state will pay grants directly to qualified private educational institutions to subsidize their schooling, provided the institutions are “non-sectarian” in nature.3
Plaintiff-Appellants are the parents of students who are otherwise qualified to receive the benefits of this state-created subsidy, except that they have chosen to send their children to private sectarian schools. After Maine refused to fund their chosen sectarian institution, St. Dominic’s Regional High School in Lewiston, Maine, the parents brought an action in the United States District Court for the District of Maine alleging numerous violations of their rights under: (1) the Establishment Clause; (2) the Equal Protection Clause; (3) the Free Exercise Clause; (4) the Due Process Clause of the Fourteenth Amendment; and (5) the Speech Clause of the First Amendment.4
*60The district court framed the issue before it as “whether Maine is constitutionally required to extend subsidies to sectarian schools.” It viewed plaintiff-appellants’ arguments “in terms of free exercise claims, establishment clause claims, equal protection claims and substantive due process claims,” but found “it unnecessary to address [them] separately or to analyze the various tests that have been enumerated,” because “[t]he same answer is obvious for all.” Concluding that although plaintiff-appellants were free to send their children to sectarian schools, “they do not have a right to require taxpayers to subsidize that choice,” the district court rejected their claims and granted summary judgment in favor of defendant-appellees. This appeal followed.
Below we address seriatim each of the bases on which the plaintiffs’ claim an entitlement to relief.
DISCUSSION
I. Establishment Clause
First, plaintiff-appellants argue that the statute, § 2591(2), violates the Establishment Clause because, rather than treating religion neutrally, it demonstrates a hostility toward religion by excluding otherwise eligible sectarian schools from the tuition program based solely on the religious viewpoint presented by these schools.
Although “this Nation’s history has not been one of entirely sanitized separation between Church and State,” Committee for Pub. Educ. & Religious Liberty v. Nyquist, 413 U.S. 756, 760, 93 S.Ct. 2955, 37 L.Ed.2d 948 (1993), and while various forms of aid to religious institutions are permissible and have been approved by the somewhat inscrutable guidelines of the Supreme Court,5 there is no binding au*61thority for the proposition that the direct payment of tuition by the state to a private sectarian school is constitutionally permissible. See id. at 780, 93 S.Ct. 2955.
A statement to the effect that “Congress shall make no law respecting the establishment of religion,” U.S. Const, amend. I, is hardly equivocal language. The fact that it is the first of the several constitutional do’s and don’ts contained in the Bill of Rights may not have been coincidental. Separation of church and state constituted a paramount principle and goal in the minds of some of the most influential of the Framers both by dint of historical experience,6 and personal conviction.7
We highlight the proposition that in some cases in which state infringement on the free exercise of religion takes place, otherwise prohibited conduct may be permitted if the state establishes an overriding societal interest. Upholding the Establishment Clause, which is aimed at avoiding an entangled church and state, is such a paramount interest. In the long run, an entanglement of the two has been shown by history to be oppressive of religious freedom. See Nyquist, 413 U.S. at 760, 93 S.Ct. 2955; Engel v. Vitale, 370 U.S. 421, 431, 82 S.Ct. 1261, 8 L.Ed.2d 601 (1962) (such a union may tend “to destroy government and to degrade religion.”); Everson, 330 U.S. at 12, 67 S.Ct. 504 (“cruel persecutions were the inevitable result of government established religions.”). The present case, in which direct subsidies would be paid by the state to a sectarian primary and secondary school, is such an imbroglio.
In Nyquist, New York created a two-part program to help defray the costs of *62educating low-income children who chose to attend private religious schools. See 413 U.S. at 762-67, 93 S.Ct. 2955. The first part of the program provided for direct money grants from the State to “qualifying” nonpublic schools to be used for the “maintenance and repair of ... school facilities and equipment to ensure the health, welfare and safety of enrolled pupils.” Id. at 762, 93 S.Ct. 2955. The second part involved tuition reimbursement grants which the state gave to low-income parents of private schoolchildren (including those who attended religious schools) as partial reimbursement for their children’s tuition, and limited state income tax relief for parents who did not qualify for the tuition reimbursement. See id. at 764, 93 S.Ct. 2955. The Court concluded that all three programs were invalid under the Establishment Clause because they had the primary effect of advancing religion. See id. at 774-94, 93 S.Ct. 2955. With reference to the reimbursement portion of the law, the Court stated:
There can be no question that these grants could not, consistently with the Establishment Clause, be given directly to sectarian schools, since they would suffer from the same deficiency that renders invalid the grants for maintenance and repairs. In the absence of an effective means of guaranteeing that the state aid derived from public funds will be used exclusively for secular, neutral, and nonideological purposes, it is clear from our cases that direct aid in whatever form is invalid.
Id. at 780, 91 S.Ct. 2091 (emphasis added).
This dichotomy between direct and indirect aid is a recurring theme throughout Establishment Clause litigation. Although not all cases fit neatly within this formula, and this somewhat tenuous distinction has been the subject of considerable criticism by academia,8 it is the closest thing that we have to a workable bright line rale, or that perhaps is possible.
Nevertheless, one thing is certain: the Supreme Court has never permitted broad sponsorship of religious schools. In those instances in which the Court has permitted funding to flow to religious schools, it has been in the context of a targeted grant, available to a limited population, for a specific purpose. See, e.g., Agostini v. Felton, 521 U.S. 203, 117 S.Ct. 1997, 138 L.Ed.2d 391 (1997) (upholding a federally funded program providing supplemental, remedial instruction to disadvantaged children on a neutral basis, taught on the premises of sectarian schools by government employees); Zobrest v. Catalina Foothills Sch. Dist., 509 U.S. 1, 113 S.Ct. 2462, 125 L.Ed.2d 1 (1993) (holding that providing a deaf student with a government-paid sign language interpreter who accompanies the student to classes in a sectarian school does not violate the Establishment Clause). “The problem, like so many problems in constitutional law, is one of degree.” Meek, 421 U.S. at 359, 95 S.Ct. 1753 (citation and internal quotation marks omitted). We find no authority in the Court’s jurisprudence for now extending state support of sectarian schools from beyond the class of particular, limited situations described above. See supra note 5.
Moreover, reliance by plaintiff-appellants on the Supreme Court’s decision in Rosenberger v. Rector & Visitors of University of Virginia, 515 U.S. 819, 115 S.Ct. 2510, 132 L.Ed.2d 700 (1995), is misplaced. In Rosenberger, the University of Virginia, a state instrumentality, authorized payment to outside contractors for the printing costs of a variety of publications issued by several student organizations. These payments, made from an activities fund generated by imposing mandatory student fees, were designed to support a broad *63range of extracurricular student activities related to the University’s educational purpose. The University withheld authorization for payments to a printer with respect to one student organization’s publication because it deemed it to be contrary to University guidelines prohibiting aid to religious organizations or activities. The student organization in question, as well as the publications for which printing costs were sought, promoted a “Christian” viewpoint. The University’s denial of printing payments was successfully challenged by the student organization on the basis of viewpoint discrimination. See id. at 832-35, 115 S.Ct. 2510; see also Regan v. Taxation with Representation, 461 U.S. 540, 103 S.Ct. 1997, 76 L.Ed.2d 129 (1983) (holding that the state cannot discriminate based on the viewpoint of private persons whose speech it subsidizes).
In answering the University’s concerns that such payments might run afoul of the First Amendment, the Court ruled that the funding did not contravene the Establishment Clause because it was “neutral towards religion.” Id. at 840, 115 S.Ct. 2510. The neutrality of the program, the Court reasoned, distinguished it from a tax levied to directly support a church.9 See id. There is a critical difference “between government speech [or action] endorsing religion, which the Establishment Clause forbids, and private speech [or action] endorsing religion, which the Free Speech and Free Exercise Clauses protect.” Id. at 843, 115 S.Ct. 2510 (emphasis in original, internal quotation marks omitted).
Most telling, from the perspective of the present ease, is the majority’s analysis of the issues presented by that appeal:
The Court of Appeals (and the dissent) are correct to extract from our decisions the principle that we have recognized special Establishment Clause dangers where the government makes direct money payments to sectarian institutions. The error is not in identifying the principle, but in believing that it controls this case ... [T]he Court of Appeals decided a case that was, in essence, not before it, and the dissent would have us do the same. We do not confront a case where, even under a neutral program that includes nonsectarian recipients, the government is making direct money payments to an institution or group that is engaged in religious activity.... [T]he undisputed fact [is] that no public funds flow directly to [the student organization’s] coffers.
Id. at 842,115 S.Ct. 2510 (emphasis added, internal citations omitted).
In lauding neutrality as the keystone of Establishment Clause jurisprudence, plaintiff-appellants forget that neutrality is but one “hallmark of the Establishment Clause.” Rosenberger, 515 U.S. at 846, 115 S.Ct. 2510 (O’Connor, J., concurring). Rosenberger neither trumpets the supremacy of the neutrality principle nor signals the demise of the funding prohibition in Establishment Clause jurisprudence. See id. at 852, 115 S.Ct. 2510 (O’Connor, J., concurring).
The historic barrier that has existed between church and state throughout the life of the Republic has up to the present acted as an insurmountable impediment to the direct payments or subsidies by the state to sectarian institutions, particularly in the context of primary and secondary schools. See Tilton v. Richardson, 403 U.S. at 684-87, 91 S.Ct. 2091 (relying on the lessened danger of prohibited entanglement when college level institutions are involved); Hunt v. McNair, 413 U.S. 734, 93 S.Ct. 2868, 37 L.Ed.2d 923 (1973) (upholding the creation of a public agency designed to assist in the placement of revenue bonds for the construction of buildings designed for secular use at higher education facilities including parochial col*64leges). Although the guidance provided by the Supreme Court has been less than crystalline, perhaps often by necessity due to the subject matter involved, approving direct payments of tuition by the state to sectarian schools represents a quantum leap that we are unwilling to take. Creating such a breach in the wall separating the State from secular establishments10 is a task best left for the Supreme Court to undertake.11
Finally, we are at a loss to understand why plaintiff-appellants believe that the Establishment Clause gives them a basis for recovery. The Establishment Clause forbids the making of a law respecting the establishment of any religion. There is no relevant precedent for using its negative prohibition as a basis for extending the right of a religiously affiliated group to secure state subsidies.
II. Equal Protection
Plaintiff-appellants argue that in addition to violating the Establishment Clause, Maine’s alleged hostility towards religion violates their rights under the Equal Protection Clause of the Fourteenth Amendment. They claim that by virtue of the statute in question they are being discriminated against on the basis of religion, religious beliefs, speech content, and association.
Plaintiff-appellants’ equal protection claims fail for many of the same reasons that their Establishment Clause challenge founders. Writ simple, the state cannot be in the business of directly supporting religious schools. Plaintiff-appellants’ equal protection claims fail, because, regardless of the appropriate level of scrutiny we employ, the state’s compelling interest in avoiding an Establishment Clause violation requires that the statute exclude sectarian schools from the tuition program.12
Plaintiff-appellants allege on appeal that they “have been singled out simply because they desire their children to be educated in a Christian environment and from a biblical perspective, and for no other reason.” Appellants’ Br. at 23-24. Plaintiff-appellants desire that the state pay grants directly to sectarian schools, in this case St. Dominic’s, to subsidize their children’s schooling. Given the present state of jurisprudence, we can see no way in which this can be done without violating the Establishment Clause. See Nyquist, 413 U.S. at 780, 93 S.Ct. 2955. As a result, we find no Equal Protection Clause violation.
We are fortified in our conclusion by the Maine Supreme Court’s recent opinion in Bagley v. Raymond School Department, 728 A.2d 127 (Me.1999), dealing with a similar situation. In resolving a similar Equal Protection Clause challenge, the court stated:
That state funds would flow directly into the coffers of religious schools in Maine were it not for the existing exclusion *65cannot be debated. If the religious school exclusion were eliminated, the State would likely pay more than $5,000 per student to Cheverus High School, without restriction on the use of those funds. In the entire history of the Supreme Court’s struggle to interpret the Establishment Clause it has never concluded that such a direct, unrestricted financial subsidy to a religious school could escape the strictures of the Establishment Clause. While it may be possible for the legislature to craft a program that would allow parents greater flexibility in choosing private schools for their children, the current program could not be easily tailored to include religious schools without addressing significant problems of entanglement or the advancement of religion.
Bagley, 728 A.2d at 147.
III. Free Exercise
Plaintiff-appellants argue that § 2951(2) violates the Free Exercise Clause of the First Amendment because it excludes funding of sectarian education solely on the basis of religion. However, we conclude that the Free Exercise Clause is not implicated here. See Sherberb v. Verner, 374 U.S. 398, 412, 83 S.Ct. 1790,10 L.Ed.2d 965 (1963) (Douglas, J., concurring) (“[T]he Free Exercise Clause is written in terms of what the government cannot do to the individual, not in terms of what the individual can exact from the government.”).
Four points support our conclusion. First, at least some of the parents in this litigation eschew any religious motivation for wishing to attend St. Dominic’s. For them, academic superiority, rather than the school’s Roman Catholic affiliation, drives their enrollment decisions.
Second, no one plausibly reading the statute could come to any conclusion other than that § 2591(2) does not prevent attendance at a religious school. Nor does § 2591(2) prevent religious education of children in Maine. All it means is that the cost of religious education must be borne by the parents and not the state.
Third, Hernandez v. Commissioner, 490 U.S. 680, 699, 109 S.Ct. 2136, 104 L.Ed.2d 766 (1989), identifies the free exercise inquiry as asking “whether government has placed a substantial burden on the observation of a central belief or practice.” (emphasis added). Factually speaking, education at a parochial school is not such a belief, for the Roman Catholic Church does not mandate it. See Catechism of the Catholic Church 537-38 (1994) (stating that parents’ responsibilities for religious education for religious education takes place primarily in the home and that choosing a religious school is a right but not an absolute duty). To be sure, the Catholic Church requires some religious education, see id. at 538, but as stated above, § 2591(2) does not prevent such religious education. Indeed, it says nothing about it. Moreover, no parent makes the claim that attendance at a religious school is a central tenet or practice of their faith.
Fourth, the primary case cited by the parents, Church of the Lukumi Babalu Aye, Inc. v. City of Hialeah, 508 U.S. 520, 113 S.Ct. 2217, 124 L.Ed.2d 472 (1993), is inapposite. In that case, the record showed a substantial animus against Santería that motivated the law in question. See id. at 543, 113 S.Ct. 2217 (stating that the “record in this case compels the conclusion that suppression of the central element of the Santería worship service was the object of the ordinances.”). No such showing has been made here.
As we mentioned earlier, even if this were a limit on free exercise, the state has justified the limit by its purpose of avoiding violation of the Establishment Clause.
IV. Due Process and Speech Clause Claims
Plaintiff-appellants argue that § 2951(2) violates the Due Process Clause of the Fourteenth Amendment and the Speech *66Clause of the First Amendment by preventing appellants from using their tuition allotments to expose their children to the educational message which best reflects their morals and values.
First, the parents argue that they have a fundamental right to direct the upbringing and education of their children based on substantive due process rights that arise from Supreme Court decisions. See, e.g., Pierce v. Society of Sisters, 268 U.S. 510, 45 S.Ct. 571, 69 L.Ed. 1070 (1925). On that general proposition, we do not disagree. However, that fundamental right does not require the state to directly pay for a sectarian education. Here, the statute does not prevent the parents from doing what they wish; it only prevents the state from helping pay for their wishes. We reject this contention out of hand.
Second, on the free speech side, plaintiff-appellants contend that § 2591(2) violates their rights because it denies parents the right to communicate and instruct their children in the areas of religion, morals and ethics which they cannot accomplish in non-sectarian schools. With little more than academic articles to bolster their view, we find this claim to be merit-less as well.
CONCLUSION
The judgment of the district court is affirmed. Costs are imposed against appellants.
. “Congress shall make no law respecting an establishment of religion, or prohibiting the free exercise thereof...." U.S. Const, amend. I.
. See Me.Rev.Stat. Ann. tit. 20, § 5204(4).
. See Me.Rev.Stat. Ann. tit 20-A, § 2951(2).
. "[N]or shall any State deprive any person of life, liberty, or property, without due process of law; nor deny to any person within its jurisdiction the equal protection of the laws.” U.S. Const, amend. XIV, § 1. The Establishment Clause, Free Exercise Clause, and the Free Speech Clause have been found to be applicable to the states through the Fourteenth Amendment. See Everson v. Board of Educ., 330 U.S. 1, 8, 67 S.Ct. 504, 91 L.Ed. 711 (1947) (citing Murdock v. Commonwealth of Pennsylvania, 319 U.S. 105, 108, 63 S.Ct. 870, 87 L.Ed. 1292 (1943)).
. See Agostini v. Felton, 521 U.S. 203, 117 S.Ct. 1997, 138 L.Ed.2d 391 (1997) (upholding a federally funded program providing supplemental, remedial instruction to disadvantaged children on a neutral basis, taught on the premises of sectarian schools by government employees, thus reversing in part, Aguilar v. Felton, 473 U.S. 402, 105 S.Ct. 3232, 87 L.Ed.2d 290 (1985) and School Dist. of Grand. Rapids v. Ball, 473 U.S. 373, 105 S.Ct. 3248, 87 L.Ed.2d 267 (1985)); Rosenberger v. Rector & Visitors of the Univ. of Va., 515 U.S. 819, 115 S.Ct. 2510, 132 L.Ed.2d 700 (1995) (holding that a state university program, whereby payment is made from mandatory student fees to outside contractors for the printing cost of a variety of student organizations, does not contravene the Establishment Clause); Zobrest v. Catalina Foothills Sch. Dist., 509 U.S. 1, 113 S.Ct. 2462, 125 L.Ed.2d 1 (1993) (holding that providing a deaf student with a government-paid sign language interpreter who accompanies the student to classes in a sectarian school does not violate the Establishment Clause); Witters v. Washington Dept. of Services for the Blind, 474 U.S. 481, 106 S.Ct. 748, 88 L.Ed.2d 846 (1986) (holding that the extension of aid to a blind student under a state vocational program by making direct payments to a student enrolled in a sectarian college does not violate the Establishment Clause); Mueller v. Allen, 463 U.S. 388, 103 S.Ct. 3062, 77 L.Ed.2d 721 (1983) (holding that a state law allowing taxpayer-parents to deduct certain educational expenses in computing their state income tax does not violate the Establishment Clause even with regard to children attending sectarian schools); Wolman v. Walter, 433 U.S. 229, 97 S.Ct. 2593, 53 L.Ed.2d 714 (1977) (holding that a state law: [1] authorizing the purchase and loan of secular text books to students in sectarian schools at their request or that of their parents; [2] supplying standardized test forms on secular subjects to sectarian schools that are thereafter scored by commercial services paid by the state; [3] providing speech, hearing, and psychological diagnostic services to students at sectarian schools at public expense by public employees; [4] authorizing the expenditure of public funds for therapeutic, guidance, and remedial services to students, including those in sectarian schools, the services to be provided at public locations, does not contravene the Establishment Clause, but provisions in that statute: [a] authorizing the expenditure of public funds for the purchase and loan to students or their parents of instructional material and equipment "incapable of diversion to religious use” — such as projectors, tape recorders, record players, maps and globes, science kits and weather forecasting charts — to be stored on sectarian school premises and administered therein by publicly hired personnel; and [b] providing field trip transportation and services to non-public school students, are invalid with regard to sectarian schools); Tilton v. Richardson, 403 U.S. 672, 91 S.Ct. 2091, 29 *61L.Ed.2d 790 (1971) (holding that a federal statute which provides grants to colleges and universities for the construction of buildings and facilities used exclusively for secular educational purposes may be applied to sectarian institutions without violating the Establishment Clause, but allowing the Federal government 20-year oversight authority over the use of any facility constructed with such funds to ensure its nonsectarian use, violates the Religion Clauses); Board of Educ. of Cent. Sch. Dist. No. 1 v. Allen, 392 U.S. 236, 88 S.Ct. 1923, 20 L.Ed.2d 1060 (1968) (holding that the lending by a state to parochial school students of non-sectarian textbooks available to all students is permissible under the Establishment Clause); Everson v. Board of Educ., 330 U.S. 1, 67 S.Ct. 504, 91 L.Ed. 711 (1947) (holding that a state may reimburse the parents of parochial school students for the cost of their transportation to and from the schools provided it is part of a “general program” whereby busing of students includes nonsectarian school students). But see Board of Educ. of Kiryas Joel Village Sch. Dist. v. Grumet, 512 U.S. 687, 114 S.Ct. 2481, 129 L.Ed.2d 546 (1994) (holding that the creation of a school district which de facto is defined by common religious affiliation, and delegation of the state's discretionary authority over public schools to said group, is a violation of the Establishment Clause); School Dist. of Grand Rapids v. Ball, 473 U.S. 373, 105 S.Ct. 3216, 87 L.Ed.2d 267 (1985) (holding that certain public programs that provided services on sectarian school premises violated the Establishment Clause); Meek v. Pittenger, 421 U.S. 349, 95 S.Ct. 1753, 44 L.Ed.2d 217 (1975) (holding that a state statute allowing the direct loan of: [1] instructional material, including periodicals, photographs, maps, charts, recordings, and films; and [2] equipment, including projectors, recorders, and laboratory paraphernalia, to sectarian schools violated the Establishment Clause); Committee for Pub. Educ. & Religious Liberty v. Nyquist, 413 U.S. 756, 93 S.Ct. 2955, 37 L.Ed.2d 948 (1973) (holding that direct payments by a state to sectarian schools pursuant to a statute providing grants for maintenance and repair of school facilities as well as certain income tax deductions for tuition expenses at sectarian schools violate the Establishment Clause); Lemon v. Kurtzman, 403 U.S. 602, 91 5.Ct. 2105, 29 L.Ed.2d 745 (1971) (holding that the reimbursement by a state to sectarian schools of the cost of teachers' salaries, textbooks, or other instructional materials violates the Establishment Clause).
. T. Curry, The First Freedoms 111 (1986) (stating that at the time of the framing of the Bill of Rights: "The belief that government assistance to religion ... violated religious liberty had a long history.”).
. See Thomas Jefferson, A Bill for Establishing Religious Freedom, reprinted in 5 The Founder’s Constitution 84 (P. Kurland & R. Lerner eds., 1987); James Madison, Memorial and Remonstrance Against Religious Assessments, cited in Everson, 330 U.S. at 63-72, 67 S.Ct. 504.
. Mark J. Beutler, Public Funding of Sectarian Education: Establishment and Free Exercise Clause Implications, 2 Geo. Mason Independent L.Rev. 7, 40-46 (1993); Al McConnell, Note, Abolishing Separate but (Un)Equal Status for Religious Universities, 77 Va. L.Rev. 1231, 1248 (1991); Evan T. Tagert, Comment, The Supreme Court, Effect Inquiry, and Aid to Parochial Education, 37 Stan. L.Rev. 219, 230-31 (1984).
. "Our decision ... cannot be read as addressing an expenditure from a general tax fund....” Id. at 841, 115 S.Ct. 2510.
. "The First Amendment has erected a wall between church and state. That wall must be kept high and impregnable. We could not approve the slightest breach.” Everson, 330 U.S. at 18, 67 S.Ct. 504. Nevertheless, the Court upheld the reimbursement to parents from public funds for the cost of fares paid by them for public transportation by public carriers of children attending public and Catholic schools. See id.
. "We do not acknowledge, and we do not hold, that other courts should conclude our more recent cases have, by implication, overruled an earlier precedent. We reaffirm that if a precedent of this Court has direct application in a case, yet appears to rest on reasons rejected in some other line of decision, the Court of Appeals should follow the case which directly controls, leaving to this Court the prerogative of overruling its own decisions.” Agostini, 521 U.S. at 238, 117 S.Ct. 1997 (citation and internal quotation marks omitted).
.Unlike our concurring brother, we find it necessary to decide the Establishment Clause issue because we agree with the Maine Supreme Court that "If the State's justification [had been] based on an erroneous understanding of the Establishment Clause, its justification w[ould] not [have] withst[oo]d any level of scrutiny.” Bagley v. Raymond School Dep't, 728 A.2d 127 (Me.1999).