Respectfully: that is simply not how labor works.
'Illegal immigrants' may flood the job market with workers that are willing (or forced) to take lower pay than most Americans, work longer hours than most Americans, or deal with more hardships than most Americans - but it is the employers role to decide whether they'd rather take on the risk of employing undocumented workers than fixing these conditions. If an employer says "eff it, I'm willing to turn a blind eye and break the law if it means slightly less money spent on wages" - they're the ones at fault.
I'm trying to point out what might seem obvious: focusing on the immigrants here may feel satisfying, but if the employers are not compelled to ameliorate their behavior, then deporting every last immigrant won't change the situation.