the 14th amendment controls the laws that Congress passes and places a limit on the congressional authority.
Saying that twice isn't responsive to the question.
Plus, I see no limit on rules of naturalization in there.
At any rate, the question, or questions, were, is the 14th amendment a law (or have the effect of law), and, is a person who is born in the US a citizen of the US, even if Congress passes no law to that effect.
You say a law is necessary, and if you say the 14th amendment is a law, then we're cool. OTOH, your posts suggest that your position is that if Congress didn't incorporate the 14th amendment into a statute, then the 14th amendment doesn't operate. I think that's an absurd position to take, but you are entitled to take it if you want. If that's your position, I'd like you take it expressly, not by me putting words in your mouth.