Unlikely they will or can.Spot-on.
That's the key phrase at-issue here.
SCOTUS has been known to re-interpret aspects of the Constitution, various statutes, and "intent" of the "framers".
For the sake of the Republic and sane border and immigration control, let's hope they eliminate the Anchor Baby interpretation.
A constitutional amendment would need to be done, to change it.
I've seen no legal argument made to support what president Trump's side is arguing...that shows the writers of the amendment and senators and congress critters who voted for the amendment and debated it on the respective floors even had a notion of what we consider an illegal alien, today....they were simply " aliens" = "foreigners" vs citizens....AND they were just "aliens" (and not known as "illegal aliens") who bore children here, and their children were birthright citizens...natural born citizens.
The founder's lack of mention of an ILLEGAL alien in this amendment, no doubt in my mind, means the SC has to rule to change its plain meaning, an amendment is needed.
If it could be done well, an amendment would likely get support from both sides, at least with some new restrictions.
But here's the thing....there is no super duper rush, the amendment could take the time needed to pass because as you've seen, Trump has shut down the border, pretty much...so no new pregnant aliens are getting in to add to the problem you are concerned with imo.