“Though, in reviewing the incidents of my administration, I am unconscious of intentional error, I am nevertheless too sensible of my defects not to think it probable that I may have committed many errors. Whatever they may be, I fervently beseech the Almighty to avert or mitigate the evils to which they may tend. I shall also carry with me the hope that my country will never cease to view them with indulgence; and that, after forty five years of my life dedicated to its service with an upright zeal, the faults of incompetent abilities will be consigned to oblivion, as myself must soon be to the mansions of rest.”
This unenlightened man failed to understand that the First Amendment forbade him to invoke God or express theology in his official capacity, so that atheistic secularism could convey that the State is not dependent upon the Creator or grateful toward Him, and thus help raise a generation that are taught by omission and commission to think likewise.
Congress shall make no law respecting an establishment of religion, or prohibiting the free exercise thereof; or abridging the freedom of speech, or of the press; or the right of the people peaceably to assemble, and to petition the Government for a redress of grievances.
Originally, the First Amendment applied only to the federal government. A number of the states effectively had established churches when the First Amendment was ratified, with some remaining into the early nineteenth century.
Subsequently, Everson v. Board of Education (1947) incorporated the Establishment Clause (i.e., made it apply against the states). However, it was not until the middle to late twentieth century that the Supreme Court began to interpret the Establishment and Free Exercise Clauses in such a manner as to restrict the promotion of religion by the states. In the Board of Education of Kiryas Joel Village School District v. Grumet, 512 U.S. 687 (1994), Justice David Souter, writing for the majority, concluded that “government should not prefer one religion to another, or religion to irreligion.”
http://en.wikipedia.org/wiki/First_Amendment_to_the_United_States_Constitution
I think your recollection of historical fact/intent is clouded.
Liberty....