Technically, there are other inferences to a HIGHER POWERS.   But only four times is there any reference at all — “Laws of Nature and of NATURE'S God,” “Supreme Judge of the world,” “their Creator,” and “divine Providence” — and in all four cases the references to a higher power appeal to the idea of human dignity, never implying a role for a god in government. 

There are NUMEROUS references to what they also believed and put forth: FREEDOM to choose, NOT ONE RELIGION. 

Thomas Jefferson, "Christian establishments tend to great ignorance and corruption, all of which facilitate the execution of mischievous projects." 

 George Washington, "During almost fifteen centuries has the legal establishment of Christianity been on trial. What has been its fruits? More or less, in all places, pride and indolence in the clergy; ignorance and servility in the laity; in both, superstition, bigotry and persecution."

Our constitution was written to give FREEDOM, not Christianity.