There's a much bigger problem than illegal aliens that no one is talking about.
The "supply and demand" part is accurate. Too many workers means each worker is less valuable. But illegal immigrants are a small fraction of the workforce when compared to the two-earner households.
This is a delicate subject, but hear me out for a minute. In the 1960s and before, there were no two-earner households, homes were more "homey" and kids had a more complete upbringing. The downside was that we had to subjugate have the population (the female half, for those keeping score).
The very last thing I want to suggest is to go back to that idea (the one of subjugating women). There's no reason a man can't be the homemaker. There's no reason a woman can't be the breadwinner.
All I'm saying is that before we persecute immigrants who we *need* (it's an economics problem with a declining population. Immigrants are basically our only growth) we should look at incentivizing people, somehow (I don't have the answer) to eschew the two-earner family and go back to a sole breadwinner arrangement.
I knew a gay couple who did this. They had a great relationship and made a beautiful and happy home for themselves and their daughter. It made me jealous.
If we voluntarily remove half the workforce and rely on each other (two can live as cheap as one), the dried-up labor pool will start to pay more for those who have elected to remain.
Disclaimer -- I am not an economist, not a politician and not interested in argument. This is just food for thought. I make no promises, claims or warranties. Your mileage may vary. For entertainment purposes only. Excess parenthetical statements included for effect only. Please don't skewer me.