I've long been puzzled by the strange fixation of conservatives on which goods and services people who aren't living here with appropriate permission should be able to procure. Lou Dobbs spent years obsessing about the idea that some of them might even have bank accounts! Plenty of people have international bank accounts in places they aren't allowed to live/work, and I have no idea why this should be of particular concern for Dobbs.
Still it's a bit better than thinking that hospitals should be in the business of checking your papers (aside from your insurance card of course! VERY IMPORTANT!) and then letting you die if (you're brown and) you can't prove you're here legally.