Let's start deporting our "unwanteds" to Mexico! Give all our felons a 1 way bus ticket to Mexico.
Just kidding.
But seriously... This is a tough question. If you start taking away the jobs and social services for these clearly motivated people (they did get here under harsh circumstances, by the way), don't you think that the 11,000,000 of them will mostly resort to crime to survive? Wouldn't you if you were in the same situation: stuck in a foreign nation with no food, money, etc.
I don't see imprisoning executives as a solution. I also don't see deporting them as an economically feasible or practical solution. And I don't think that a Nazi-esq rounding up of people is good for anyone. Mistakes are bound to be made. What if people resist in large numbers? Do you start beating or killing them? The logistical problems are nightmarish; housing, feeding, transporting, etc. I don't necessarily think that it would be good to have 5% of the nations population suddenly strike back with violence.
I think the best plan is:
1: FIX the border problem. Build a monstrous fence and have it patrolled by the National Guard, ground sensors, etc. Patrol those coastal areas with the Coast Guard. Sure it's a large area, but it's not impossible to do. Use federal and local prisoners as workers to do the labor to save costs.
2: Allow amnesty for all the illegals that are here provided they take courses, LEARN ENGLISH, and get citizenship. This allows us to tax their wages and gets them contributing to the system from which they draw. Start having them pay for their services they use (school, hospitals, medicine, roads, police, fire, etc.). And they can be part of the census.
3. Anyone that fails to get their citizenship must leave. This will give the majority of them the incentive and opportunity to become legit, and I suspect the overwhelming majority will comply. Those that don't are probably criminals or troublemakers and should be deported. This though is a much smaller number, maybe tens of thousands or something, and much easier to justify deportation and expenses .
This means that we have no NEW immigration problems and the legitimate ones can stay.