They have already re-defined health insurance coverage. Instead of getting health care, you just pay a tax.
Now, one way to mitigate that would be to get more doctors. Maybe help more people pay for Med School, or make a real effort to get kids to understand and enjoy biology and other sciences. You could expand the resources, get more doctors, and provide more care.
Obama made no effort to do this.
Or, you could re-invent the insurance business and give everyone a piece of paper which says "You have health insurance". And, as a bonus, you could tax the bejeezus out of everyone.
Obama decided that this idea was a real winner.