Tough call; illegal immigration is a HUGE Catch-22...
Getting much tougher on it would probably help; companies or individuals that are caught hiring illegal immigrants would be subject to a 30% increase in state and federal tax rates on the first violation (flat tax with no write-offs allowed). Second violation is forfeiture of held assets to the US government. 3rd offence is criminal charges and jail terms for those that hire illegal immigrants. Something like this would probably violate any number of Constitutional rights, so take it with a grain of salt.
You guys are fighting the wrong battle if you are trying to kill the supply side of this equation; the quantity of cheap labor from Central America is damn-well near endless. Mining the borders and building walls isn't in the realm of reality, either. It's not going to happen unless something absolutely drastic happens between the US and some of it's geographical neighbors.
The demand side is where the battle is; kill the demand and a significant portion of the problem goes away. Punishing the cheap laborer from Central America won't do jack; you need to squeeze the living HELL out of those that actively and knowingly hire illegal immigrants. Here's the catch, though: squeezing the "Demand" side of the equation means MASSIVE amounts of bureaucracy and oversight by the government...
...which is something I'd run screaming from as 9 out of 10 times the US goverment ends up creating bigger messes out of the one's they initially set forth to solve.
This is probably full of holes just like every other solution I've heard, so feel free to chew it up.
