I agree--"round em up and ship em out"--anchor babies leave with the parents but I would go one step further. . Empty em out of our prisons and send em back to where they came from. But at the same time, we've got to secure our borders.
Actually, I would go two steps further and that would be to also stop nearly all legal immigration. I would carefully consider allowing highly qualified engineers, scientists, maybe doctors and maybe even an economist, or two. Oh, and maybe certain individuals who aren't liberals, or religious nuts who have a boat load of money.
This would be stringent by a lot of peoples standards, but these are desperate times and in light of that, it's the least we should do.