Section 1.
All persons born or naturalized in the United States, and subject to the jurisdiction thereof, are citizens of the United States and of the state wherein they reside.
There it is. I'm not a constitutional scholar but it seems like an amendment to the Constitution is needed. Otherwise if you're born here you're a citizen.
You forgot to consider the meaning of the "and subject to the jurisdiction thereof" part.
The subject involves foreign citizens brought illegally to the US by their parents.
It does not involve people born in the US or those who became naturalized US citizens.