I find the insights of GK Chesterton's "What I Saw In America," to be right on target:
"The Declaration of Independence dogmatically bases all rights on the fact that God created all men equal; and it is right; for if they were not created equal, they were certainly evolved unequal. There is no basis for democracy except in a dogma about the divine origin of man."
Abandon one, surrender the other.
GK Chesterton wrote:
" -- There is no basis for democracy except in a dogma about the divine origin of man."
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There is however a firm basis for the Republic in the rationality that we are all endowed with inalienable rights to life, liberty & property, regardless of how they originated.