You are still missing the point of Article 1 Section 8. There is NO LIMIT ON THIS AUTHORITY other than Article 4 Section 2 and the 14th Amendment which was pass long after the founders wrote the Constitution.
If you believe other wise, then show via the Constitution where this authority is limited.
Neither that clause nor the 14th Amendment have anything to do with the Article II presidential eligibility phrasing. You are exhibiting complete inexperience with and knowledge of these matters.
Neither that clause nor the 14th Amendment have anything to do with the Article II presidential eligibility phrasing. "[N]aturalization" in Article I is a process completely unconnected with the "natural born citizen" presidential eligibility clause in Article II. You are exhibiting complete inexperience with and a lack of knowledge of these matters.
Congress' power to naturalize is unlimited, period.
The naturalization power is referred to in the second part of the first sentence of the 14th amendment, but the power to naturalize is not conferred there.
Art IV, Sec. 2 (citizen of a state) is not about naturalization - those persons are citizens without being naturalized.
The first part of the first sentence of the 14th amendment recites, in part, "born in the US ... and subject to the jurisdiction." Those persons are not naturalized either.