These are the words that Hamilton had when recommending a military chaplain:
“He is just what I should like for a military parson except that he does not whore or drink,...”
-- July 6, 1780 letter to General Anthony Wayne.
Hamilton, as you could probably tell, was not an orthodox Christian during the time he helped "found" the nation. Rather, like the other key Founders, he was a theistic rationalist. He didn't become an orthodox Christian until after 1801 after his son died in a duel.