The Supreme Court disagrees with you:
Supreme Court Justice Noah Haynes Swayne: "All persons born in the allegiance of the king are natural- born subjects, and all persons born in the allegiance of the United States are natural-born citizens. Birth and allegiance go together. Such is the rule of the common law, and it is the common law of this country ... since as before the Revolution." United States v. Rhodes, 27 Fed. Cas. 785 (1866).