States are sued all the time. They usually win but lose a lot too. The court that decides in the plaintiff’s favor issues the judgement and it’s enforced like any other judgment.
The federal government can just start locking up the people that get in their way, judgement or no. How do you think schools in the South were desegregated? The national guard was taken over by the president and the national guard made it happen.
This isn’t going to happen though, because Meatball Ron is a coward.