I don't believe they do. The phrase "a power reserved to the federal government through the INS" is bogus, IMHO. In actuality, a state has every right to apprehend illegals, unless a specific state law prohibits it.
I think you are probabely right. However, currently the police are not arresting immigrants, nor do they want to get in the business of arresting immigrants. I think this ruling would give the INS some ability to force the locals to cooperate.
If you are from Florida, maybe you can tell me if the two republicans mentioned are of Cuban decent and if they are why would they be throwing in with mainly a Mexican desire.
Every time it's been in front of a Federal District judge or Appellate judge the decision has been forceful that they can and should enforce the laws.
In the '70s, when illegals were just starting to come in large numbers, it was easy to identify them: they always did exactly the speed limit, because they didn't want to get stopped by the cops.
Now I assume they have drag races with the cops because not only will they not get deported, I'm sure the state legislatures will exempt them from traffic violations since they don't have licenses. I mean, that would be "hurtful" and "mean spirited" and "nativist" and "xenophobic"...(madness ensues, sound of screaming..)