If we really wanted to do something useful, we could replace all the illegals we can detect with guys (and women) coming out of prison after serving their time, with suitable screening to weed out the psychos. They have a helluva time finding work.
That would help address the Black unemployment problem, frankly, as most of these guys are black, and it would get the jobs done by what after all are home grown Americans. Maybe, just maybe, getting a shot at a job this way would be a good re-entry program and reduce recidivism in the bargain.
Society needs 'second chance to start over' jobs.
Jobs for dried out alcoholics, released convicts, knuckle head gangbangers who want to straighten out, etc. Jobs to give repentant people second chances. A Christian society gives repentant people second chances.
And it is these jobs that illegals take.