Why are you sure we'd create a welfare system? Adult illegal aliens get basic free stabilization medical treatment, but not much else is legally mandated. Kids get educations. But, if a guy can't pass everify, we could deport him and his dependents.... and, when you do this, and it works perfectly, you will have 11 million people who can't feed themselves. Are we going to let them starve (because, under your program, that's their choices - either stay and starve or go home and starve). You know as well as I do that we will create a welfare structure that supports and cares for them.
I absolutely agree that E*verify will help to control the illegal employment issue, but it is nonsensical to think that employment is the ONLY reason they come. What do they get when they get here? Freedom, free education, free welfare, and free healthcare. Still beats the hell out of what they have back home.
Plus, illegals are helping pay for the public school system anyway every time they pay sales tax on something they buy or make a rent payment to their landlord. It does add to the cost of education, however, when more money has to be spent on classes to teach their children English. We've been having that issue in Vegas.
Most illegals are undereducated. What they "pay" is far outpaced from what they receive.
Mark