As for your assertion that illegal immigration is putting all the clinics and hospitals along the border out of business, that is incorrect.
As the population in the Mexican border towns has grown rapidly, the mexican residents have put strains on the US medical machine. They have always utilized US facilities, this is not new.
What's new is that they aren't paying. That's why they are closing down. No business closes down because it has too many paying customers.
What also is new, is that a lot of paying customers are leaving. The customers who remain are going to have to pay more to take up the slack -- except the ones who don't pay.