I think you are going to be disappointed. The argument they are presenting is that the law is outdated and that any pregnant woman can jump on a plane, come to America and give birth to a citizen. Alito and the others said that if you can change the Constitution based on modern times vs the 1700's then you could change the whole document and it wouldn't mean anything at all.
States manipulate the Constitution all the time. Free speech? 2A? 4th? The list goes on.
Something needs to be done about illegals coming here just to pop out kids. Does that mean there should be a minimum amount of time a parent is in the US before the kid is born? Maybe it only applies to illegals? If you're here illegally, then so is your fetus? Not sure what the solution is.