Here's my solution:
Have the gov't set up a fund. When you file your taxes, you can elect to send your return or any percentage (even 0%) of your income to this fund. From this fund the gov't can provide healthcare for the uninsured.
Since "most" of the American people "wanted" gov't run healthcare, finding moneys for this fund shouldn't be a problem, right? And so the people without healthcare can have it, the people who want to pay for it can, and the people who don't want to have anything to do with it can stay as far away as possible!
There's your "Public Option!"
What do you think?