Well said, Ooaman. But you don't tell the half of the story. The "founding fathers" were well aware of the religious wars of Europe during the preceding centuries. They were also aware of the several state religions of the colonies. Would it have been a good idea to go with the Puritanism of New England? Or maybe the Anglicanism of the middle states? But why not the Baptists of the south? Which should be the official state religion of the new government?
Maybe Rhode Island had a better idea. Rhode Island was the only colony that never had a state religion. Religion was not discouraged or denied, since the founder of the colony was a cleric, but citizens were free to be free of religion.
So the "founding fathers," most of them deists, most of them educated in the works of the enlightenment, Descartes, Pascal, Rousseau, and more importantly Locke (friend of Newton) recognized and feared the dangers of religion as government. And the people of the new nation elected not Christians, but deists and Unitarians:
Washington - deist
Adams - Unitarian
Jefferson - deist
Madison - deist
Monroe - deist
Adams - Unitarian
Religious dogmatism and intolerance is dangerous. Given the chance, fundamentalist christians would take this country down the path followed by the Taliban in Afghanistan. At first prayer in school, followed by prayer as science, followed by only prayer in school.