You have it exactly backwards.
The availability of illegals willing to work dirt cheap allows employers to hold down the wages of all blue collar workers in the sector.
If illegals were not present, employers would have to pay American workers a better wage.
Why are you so bent on driving down the wages of your fellow Americans?
Do you have any idea of how much the incomes of blue-collar workers have declined over the last thirty years, principally because of illegals and offshoring?
Do you really want to turn the United States into a Third World country?
Did you go to Union University? That is pure balderdash.
Employers are not some fat dudes in top hats with cigars trying to screw their workers out of every cent they can. Employers pay what jobs are worth, and guess what, it has NOTHING to do with how much your rent is. It has to do with how much money your work produces for that company.
Your liberally blinded thinking may prevent you from seeing it, but it is a FACT that there are many jobs out there that are not worth but $3 an hour, or maybe even less. Now, those jobs are not going to be filled by legal workers because a company is not going to go in the negative just to hire workers to do those jobs. So they are forced to hire illegal workers who cannot report their wages.
If we removed minimum wage, then those low level jobs could be filled legally, and the companies could put more resources to paying its higher qualified workers instead of having to keep it's illegal workers secret.