While coinage in America frequently had "In God We Trust" written on it as early as 1860s, it was not printed on money until 1956. Even then it was more of a tactic to fight communism rather than an act of faith.

The Founding Fathers came from many backgrounds and faiths. While many were Episcopalian, it was many of the smaller Protestant faiths at the time, like Baptists, that demanded freedom of religion to ensure that the government would not establish a national religion and end their ability to proselytize. The Establishment Clause of First Amendment therefore exists to protect religion from the state rather than the opposite. Regardless, while many of the Founding Fathers were men of great faith, they specifically ignored the opportunity to call to any religion even if it was a broad call to Protestantism. Protestantism and Puritanism were noted as being the source of many founding principles of society but it was Enlightenment principles that were the workhorse for the present government. The Enlightenment promoted a sense of morality and law generated by man and society and not by religious authority or a monarch. This promotes the idea that the state is an nonreligious entity and religion is delegated to the individual and the meeting of individuals exclusively.

So while it may be convenient to say we come from Judeo-Christian values, it should be noted that that term really came into being during the lead up to war with Nazi Germany; to make palatable fighting against antisemitism despite being largely antisemitic ourselves at the time. And instead of believing that this is a Christian nation, it should be noted that it is law that "the Government of the United States of America is not, in any sense, founded on the Christian religion" as written in Article 11 of the 1797 Treaty of Tripoli, a treaty that passed unanimously and with little debate in Congress. If we were a Christian Nation then it stands to reason that the first nation to recognize our statehood would not have been a Muslim nation, Morocco being that very nation, but would likely have been a nation like Italy or France. While some argue the language, translation, etc of the aforementioned treaty, I believe the fact that the text was printed for the average citizen to read and no protest happened that everyone more or less agreed.

So all of this comes to reason that while many religious peoples would like to make America some sort of quasi-theocracy, the state and therefore those representing the state shall not condone any religious activity on its behalf. While recognizing the need for religion in society it is important to express religion to the masses but nondenominational is the only way it can be done successfully. Religion can exist here but it is because of people and not because of the government.

Please debate whatever you might disagree with here as it is important to clarify everything.