Dan - great stuff.
PSG and Vic - good call - send them home when they're caught, and have severe punishment for those employing illegals. If they need medical help, give it to them, and then deport them. If they have kids here that are citizens, they can either be adopted, or sent back to Mexico with them until they are able to immigrate legally.
My wife and I had to jump through hoops and do paperwork for her to even come on base when we were stationed in Korea to go to the grocery store after we got married (took over 5 months) and then go through all of the hoops to immigrate - and this is as a serviceman's wife with a son who is a US citizen (foreign born obviously) - there's no reason that a freeloader should be able to essentially "get away" with jumping the border, and then go unpunished for doing so.