Creator not necessarily = God (of the bible).  And as our nation is governed on the US Constitution and its amendments, there is no reference to God or the Creator or any other existential being.  

As for the founding father's religious affiliation, let's not forget that wild Ben Franklin, one of the more influential chaps, belonged to the Hellfire Club and was hardly a man of (Christian) faith.  The rest?  Quite a medley- Christian, for sure but also Deists or somewhere between the two. 

https://en.wikipedia.org/wiki/The_Faiths_of_the_Founding_Fathers