I trust the opinions of the Founding Fathers over a couple of 21st century neocons.
The Supreme Court of the United States has never applied the term natural born citizen to any other category than those born in the country of parents who are citizens thereof.
"The citizenship of no man could be previous to the declaration of independence, and, as a natural right, belongs to none but those who have been born of citizens since the 4th of July, 1776."....David Ramsay, 1789.
A Dissertation on Manner of Acquiring Character & Privileges of Citizen of U.S.-by David Ramsay-1789
Absolutely no living expert agrees with.
You are forced to misquote and falsify what dead people believed because they are not here to tell you that you are wrong.