I don't know. I think probably health insurance should still exist, just not as health care. It should behave as insurance. Things that one is always going to lose the bet of insurance on, like physicals, prescriptions, etc, should be paid for directly, and perhaps if necessary health expenses go over a certain amount of your income determined by your tax bracket, you would be reimbursed, like a subsidy or something.
...if that makes any sense.