I'd give the illegals a chance at amnesty every 5 years. If they can prove work history I'd evaluate them and consider have them go through citizenship. Then I'd go after the criminals that hired them and didn't file taxes from them. I'd advertise those rules so everyone in Latin America understands it. So, if they want to chance it and US employers are dumb enough to keep trying this they will get tagged. That should start to dry up the problem.
Illegal immigrants caught doing crime get sent over the border. Let their native country decide what to do with them.
This is because I'm interested in taking care of (real) criminals and keeping anyone that is essentially trying to better himself. I'd also curb welfare bennies to certain mommies who are baby factories. I'd restart orphanages to handle that issue.
Of course I'd also stop using our defense budget to keep oil prices low and protect our borders better but typical conservative Redumicans aren't smart enough for that and there are many of those. They vote stupidly on things like the Patriot Act that give up individual freedoms their sons and daughters fight for. They are too stupid to realize that a shortsighted fool of a judge running roughshod in Ohio is creating other problems trying to solve another.
However, that's the way it goes with the knee-jerk living in a van down by the river crowd.