You are completely wrong. The “Laws of Nature” as stated in the DOI is not at all associated with the term “natural born citizen” as applied in American jurisprudence.
The Laws of Nature and of Nature’s God do not ANYWHERE establish citizenship. They do, however, apply to natural (i.e., inherent or God-given) RIGHTS.
So you're cool with a Syrian stealth terrorist elected POTUS as long as he's got an American mom? Why do you think the founders used the words "natural born citizen"? What to you think the purpose of the NBC clause in our Constitution is? Why did the "father of the Constitution" James Madison change the wording in 1795 from "natural born citizen" to "citizen". Do you think Madison did not know what he was doing? Dido Washington for signing it.