It is NOT the illegals that are the problem!!!!
It's the evil bastards that are hiring them / renting to them / giving them aid and comfort. Start jailing the people who ENABLE the illegals, and you'll see the inflow slow to a trickle, then begin building pressure outward as they return to wherever they came from.
If you can't get a job / rent a place to live / buy food to eat, you won't stay long.