Most of the Reformation was about not believing in the divine rights of kings, and the entire concept (not rightly understood here, but not going into it) was not universal anyway. In example, angle saxon kings (where english, "anglo-is" comes from, were elected.

"(the Declaration of Independence, which still doesn’t make this specific claim—it does reference rights being endowed by a Creator, but does not specifically attribute omnipotence to that Creator)".

I'm sure the reference was to Supreme Judge of the World, and no omnipotence. You need to write more carefully.