[Nero Germanicus]

According to the Constitution, it can.
Article I, Section 8, Clause 4:
[The Congress shall have Power] To establish an uniform Rule of Naturalization, and uniform Laws on the subject of Bankruptcies throughout the United States;

[RegulatorCountry]

For all the debate over just who is and is not a natural born citizen, no one has ever claimed that naturalized citizens are. The Legislature has Constitutional authority over naturalization.

[freedomjusticeruleoflaw]

One clause of the Constitution cannot overrule another.

[DiogenesLamp]

According to the Constitution, it can. Article I, Section 8, Clause 4: [The Congress shall have Power] To establish an uniform Rule of Naturalization,

Very good. You are rightly recognizing those statutes as "naturalization" laws. Yes, congress has the power of naturalization.

You're getting there.