Without getting too deep into economic theory, illegal immigration lowers wages by artificially increasing the supply in the market for labor. Whites are forced to either A) get a college degree (which the student loan bubble is growing more and more by the day, only so many of those jobs are needed as well and even graduates can't find jobs right now) or B) work for unlivable wages. And it hurts the economy as a whole too, because low unemployment and a healthy middle class is the backbone of a healthy economy.
That's what your problem is. Evading the whole economic theory or nature of this.
So once we get rid of of all the undo ented people, what happens..does everyone get a job? Does the obvious budget and economic issues, including that of baby boomer retirement go away?
population facts:
there was a 20+ to 1 worker to retiree ratio 50 years ago
it will be 2 to 1 soon, over 10 fold less paying in than extracting. That's a pretty big discrepancy to place on our children.
Australia countered this by allowing massive waves of immigration, now their workforce is 25% foreign born.
They have had no:
no housing/financial crash
no retirement/pension cuts
no high unemployment
no schooling cuts
So does your solution include some additional magic? Because at this current rate a lot of young college graduates would rather work overseas than barely making ends meat given that burden here.