We should build a wall at the New York border.
We've experienced a reverse migration from NYC over the last 20 years, which brings the sort of stuff you mention. The worse being grafitti.
Interestingly enough, very few Nuyoricans and Dominican Yorks choose South Florida (Miami-Dade/Broward/Palm Beach), due to the fact that its become an expensive part of that state. The Jewish migration from New York/New Jersey to South Florida (especially Palm Beach, North Broward, and even portions of coastal Dade) continues, albeit largely of the upper Middle Class to wealthy, to say nothing of wealthy South Americans.