I'm interested to know what "solution" you would propose. Are you proposing to throw out all illegal immigrants or do you have some special x-ray specs that allow you to identify the ones who drive drunk? ;-)
FWIW, if all illegal immigrants could be expelled from the US tomorrow you would need around 1,000 new orphanages in Tennessee alone for all the US-citizen children you have deprived of parents. And in 20 years the very people you need to support you in your dotage will be suing you for compensation.
I know it's trite, but to achieve success you need to fix the problem, not the blame. But how?
"... They ne'er cared for us
yet: suffer us to famish, and their store-houses
crammed with grain; make edicts for usury, to
support usurers; repeal daily any wholesome act
established against the rich, and provide more
piercing statutes daily, to chain up and restrain
the poor. If the wars eat us not up, they will; and
there's all the love they bear us."
-- Shakespeare: Coriolanus, Act 1, scene 1