Which is bullshit propaganda as around here, regular Americans do work those sort of jobs. If you pay enough, people will work the jobs. But since illegals can't get real jobs they take others with low pay under the table. And that's the whole problem.
It hardly compensates for the debasement of the currency though.
I'd say that if illegal workers weren't a problem, wages would be higher, including a minimum wage. Why? Simple supply and demand, wage and labour analysis. It's not brain surgery here. It's economics 101.