Will that be enforced?
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You'll be declared a Branch Davidian who managed to escape from Waco, then surrounded and killed.
The point is that if you're a citizen, it's no holds barred: they'll arrest for anything they can think of. But if you're an alien, you're part of a group that has more rights than citizens, a group which is now free to violate a laundry list of laws, like falsification of federal forms and documents, non-payment of taxes, etc.
That is what these chiefs are now asserting: that they will enforce the laws only against those who agree to them. As for foreign nationals who have contempt for the laws? That's cool. No problem. Us chiefs are only here to keep the gringos in line.