Here are some snippets from the Supreme Court case regarding prayer and Bible reading:
School District of Abington Township v. Schempp (1963) (regarding school-mandated prayer and Bible reading)
From Justice Clark's opinion of the Court:
"The trial court in (Schempp) has found that such an opening exercise is a religious ceremony and was intended by the State to be so. We agree with the trial court's finding as to the religious character of the exercises. Given that finding, the exercises and the law requiring them are in violation of the Establishment Clause..."
"(These exercises) are religious exercises, required by the States in violation of the command of the First Amendment that the Government maintain strict neutrality, neither aiding nor opposing religion."
"The place of religion in our society is an exalted one, achieved through a long tradition of reliance on the home, the church and the inviolable citadel of the individual heart and mind. We have come to recognize through bitter experience that it is not within the power of government to invade that citadel, whether its purpose or effect be to aid or oppose, to advance or retard. In the relationship between man and religion, the State is firmly committed to a position of neutrality."
Justice Douglas, concurring:
"These regimes violate the Establishment Clause in two different ways. In each case, the State is conducting a religious exercise; and, as the Court holds, that cannot be done without violating the "neutrality" required of the State..."
"(The Establishment Clause) also forbids the State to employ its facilities or funds in a way that gives any church, or all churches, greater strength in our society than it would have by relying on its members alone."