The fact that your analysis starts with an “Act” means you know nothing about the issue. Acts of Congress are irrelevant to the question of who is or is not a natural born citizen. They deal strictly with who is or is not a naturalized citizen. The Constitutional explicitly granted them the right to determine naturalization rules, but not Presidential eligibility rules.
Since the term “natural born citizen” is not clearly defined, it is up to Congress to define it. Simple as that. That is one of the things covered under hte “necessary and proper” clause.
You know nothing about Constitutional law. Nothing. Acts passed by the First Congress are given preeminent deference when interpreting original intent.