That's it, and Congress can use it as an opportunity to loot the companies by means fines. They don't hesitate to use hefty fines, or even asset forfeiture, when it is an available remedy (which it may not be in this context).
Do 100 raids like the "1200 employees and three managers" raid the other day, and you would not believe how fast millions of people will be moving back home.
As far as I'm concerned the companies that hire the illegals should pay the cost of repatriating them to their home country.
Give the illegal 60 days to make his plans and a couple of thousand dollars (Paid by the offending company) that should give him plenty of time and a good start in making his way in Mexico.