So they were Godfearing people. But even THEY recognized seperation of Church and State. George Washington himself said that this is not a Christian nation.

While we are zealously performing the duties of good citizens and soldiers, we certainly ought not to be inattentive to the higher duties of religion. To the distinguished character of Patriot, it should be our highest glory to add the more distinguished character of Christian.
The blessing and protection of Heaven are at all times necessary but especially so in times of public distress and danger. The General hopes and trusts that every officer and man will endeavor to live and act as becomes a Christian soldier, defending the dearest rights and liberties of his country.