No, they don't. Most, who are on real payrolls, only pay social security, and many of those apply for the EIC and actually get money back (zero taxes paid and a check in the mail for a couple thousand of OUR dollars), and the rest are working under the table. They still send their kids to our schools, go to our emergency rooms for medical care, and collect as many social services are there are out there.
My neighbor is a teacher and she said that almost 30% of her classes are comprised of children who are here illegally. 30% just think of the drain on our education dollar!