Do you really believe that any scienitfic theory must incorporate a reference to "The Creator", lest it be judged "atheistic" by You Who Know All?
If all men are created equal, they must have had a Creator, don't you think?
I haven't messed with the sense of what they wrote at all. You have.
The removal of reverence for God, the God of Abraham, Isaac and Jacob, and of our founders, leads to disrespect for the lives of those who have been created in His Image. The loss of all liberty soon follows. That's the pattern of history. And the Founders knew it, even before the massive evidence of the history of the last couple of hundred years was amassed.