Many of the founders did not conflate God and Jesus. Jesus for them was irrelevent since they were not Christian. The only invocation to any higher power that I see in the founding documents is an oblique reference to a Creator in the Declaration of Independence. The Declaration was composed by Jefferson who was certainly not a Christian, so there was not conflation in his mind.
For the founders that were Christian, they did not see fit to put religious language into the Constitution.
Here is another source to enlighten your dark mind... :)
http://www.wallbuilders.com/LIBissuesArticles.asp?id=8755