Back in the 90s, there was a push to pass legislation banning or limiting legacy admissions, coming from a staffer in Ted Kennedy's office IIRC. Lobbyists from Harvard went nuclear and scared Democrats into opposing it.
I barely even need to point out that Republicans didn't need to be scared into opposing legacy admissions, as they eagerly supported them, for people who might be taken in by their meritocratic facade from the decision yesterday.
As mentioned in my post, the 14th amendment does not cover wealth, property or familial relationship as protected classes. This is not an issue for the courts. It would require a separate law.