Personally, I'd feel much better about government-run healthcare than for-profit-insurer-run healthcare. At least with the government option, everybody works for me, either directly or indirectly. Plus, a bureaucrat's natural fear works in my favor.
That's why I'm torn on the whole thing. I think for-profit should be able to do it better, but the current system clearly isn't structured in a way that encourages it. I have no idea whether the devil I know is better or not, and it's a big decision.
There are occasional health system scandals in Australia and the UK, for example, but even with this everyone gets coverage. So why the US needs to drag its heels in this is beyond me.
But if you do think the public service will make a dog's breakfast over the whole thing, I'm all ears.
Great data and analysis here:
http://theincidentaleconomist.com/wordpress/what-makes-the-u...
However, to address your question directly, look at debt to GDP ratios:
http://stats.oecd.org/Index.aspx?DatasetCode=GOV_DEBT
The US is in the middle of the pack. Countries with more sane health care systems and better levels of debt include Ireland, the Netherlands, Spain, Germany, Finland, Denmark, Canada, Sweden, and Australia. I don't see any reason to believe that they're being driven bankrupt by their health care systems.