I can assure you that the Founding Fathers did not believe that religion had no place in government. They were very much Christian and quite clear in their beliefs about the influence religion had on the drafting of the Constitution.
The Constitution grants us the freedom to practice whatever religion we choose, free from persecution, and says that Congress can not establish a national religion.
That doesn't mean that religion and faith can't play a role in the decisions that our government of the people make.
http://james-a-watkins.hubpages.com/...unding-Fathers