Try reading the piece I posted.
The article you posted linked to this
Was U.S. vs. Wong Kim Ark Wrongly Decided?
And that is the point. Wong Kim Ark has been interpreted to stand for birthright citizenship. Regardless of what the federalist blog my wish, the scotus is not going to overturn Kim Ark's holding that a child is a US citizen when born in the US to two non-US citizens, who retain legal status in their native country and evidence an intent (and in their cases the legal duty) to return there. Kim Ark and the 14th never contemplated "illegal immigration," even though the SW border was crossed and recrossed for generations.
Whether, the scotus would hold that a child is a citizen when born to two non-citizens illegally here is a citizen .... maybe that's a question. But you do correctly identify the words at issue "subject to the jurisdiction" of the US.
Any ruling can be reviewed at the Court's discretion. Should they determine that the language of the 14th in dispute has been erroneously or politically interpreted away from the original and intended meaning of the language, there could well be a major shift. Such an act would not be without precedent, and the Court certainly has the authority to reverse previous rulings it deems mistaken.
Billy, there has to be a case or controversy. IF Texas actually passed a law saying "no birthright citizenship," then at least conceptually, the scotus might revisit Kim Ark and the application on the 14th. IF some local yahooos in Texas decide not to issue birth certificates, a federal court will have to enjoin them to stop violating the law or go to the hooskow, like Kim Davis did.
The problem would be this.
The 13 said slavery was illegal, and nobody was a slave anymore (with irrelevant exceptions). The 14th just said "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" The US stopped importing slaves in 1807, so every former slave was born here, although they weren't citizens when born because they were slaves.
So, again, you identified the issue: what's it mean in subject to the jurisdiction thereof. We had people who'd been born to non-citizens, who now became citizens cause they were born here subject to the jurisdiction of the US.
In Kim Ark, the guy's parents were never subject to our jurisdiction because the Chinese Exclusion Act(s) said they had to go home ... eventually. Kim Ark was a citizen, because he never gave allegiance to china and was beyond any doubt subject to our penal laws. Perhaps there's some distinction between him an anchor babies, but I wouldn't bet on it.
There are easier ways to dissuade illegal aliens.