Cars are a privilege: Pay for insurance. Health is a natural right: No one should profiteer in the healthcare industry while many suffer.
I believe universal healthcare is the way to go, though the current measures being proposed might not be the best fit.
Costs would be kept down: nowadays, people cannot always afford to to to the doctor and put things off, sometimes causing things to get worse and more expensive on both the individual and society. If healthcare were completely covered, people could stay more healthy more easily and costs would not be as much (plus more healthy people means more can be accomplished).
The pharmaceutical industry also needs to be put in check. Capitalism was intended for the average person to be able to make something of him/herself, not for the Bigs to be able to step on the average person out of greed.