Point of order. The US Constitution did not create US Citizens. US Citizens were created by the Declaration of Independence on July 4, 1776.
And yes, the Declaration of Independence cites "the laws of Nature and of Nature's God" as their authority to create a new country.
And while i'm at it, I will point out that I have looked at four different English law books from the period prior to 1770, and the word "Citizen" is not even in any of these law books. The word "citizen" appears to be virtually unknown to British Law.
Yes you are right about the Declaration of independence, but it only established our intent to separate from the British Crown.
The US Constitution made us a nation.