if the government checks the payroll information that employers already report to determine who is an illegal alien and then informs the employer that they can't hire that person, then we will not have significant numbers of illegals in the economy. Amnesty is irrelevant to this.
The last time I was in Mexico (June, 2002) there were billboards with "Amnistia" and USA on them. If amnesty is so irrelevant, how would you explain this?
Just checking payroll tax records isn't enough. You'll miss all those "under the table" employees.