Color me skeptical.
You are absolutely right that crime spills over - because that is what happens when you allow the soft crime of illegal immigration in. Worse crime slinks in with it.Arpiao is such a dumbass showman/politician. He keeps getting elected by scaring all the old people down there. I lived there for 12 years and I had to move because the street behind my house was EXTREMELY 3rd world. Automatic gunfire every night. Ghetto Buzzards (police helicoptors) flying overhead every night. Finally had to move when a guy was murdered about 50 yards from my front door. He plays like he's tough on illegals. That's his schtick. He orchestrates all these raids on this and that area and arrests in giant groups. Makes him look good. Meanwhile, legal citizens are rounded up because of the way they look and they lose that whole day of work and have to explain to their bosses what happened and pray they don't get fired.
Then the illegals there were so terrified of being caught and deported that they created a sub-society and would absolutely NEVER cooperate with cops. Crime exploded... because the criminals know these folks won't work with the cops. You can say "so what? they are illegals so let crime happen to them" but that crime spills over big time.
Don't complain out of one side that cops aren't pariticipating with their populace enough and then out of the other that cops are participating too much.