It's not withholding health care. It's withholding American tax money from being used for people who are not Americans. They're free to pay for health care for themselves.
I'm not a citizen. I come here legally. I pay my taxes. I pay for my insurance. This is not the minority case by the way, all your H1b colleagues as well as F1/J1 students are like this. Should we still die because we're not American citizens?