We've gone over this sort of thing before, but here's (yet another) study showing that illegal immigrants vastly underuse the health care system. Contrary to fears that they see seven hours in the emergency room as an awesome, cost-free night on the town, it turns out they're 50% less likely than U.S-born Latinos to use ERs, and that means they're almost certainly less likely than that to seek care elsewhere, as the ER is about the only place you can go if you lack insurance.
Meanwhile, it's worth pointing out that so long as we're going to have illegal immigrants in the country -- and, for now, we are -- we actually do want them to get health care. It's no harder to catch the flu from a day laborer than an investment banker. And, from a coldly economic standpoint, it's better to have productive workers than disabled, marginalized members of society spending their days limping into ERs for routine care.