Young, healthy people will get screwed by any mandatory government healthcare system, but my view in general is that having strong government oversight of healthcare is just a good thing. With reference to this Guardian article, the US spends $8,362 (Private individuals, Government, and insurance combined) per person. Contrast that to the UK which spends $3480 per person. While I hate paying taxes just as much as the next person, I do think I get very good value for money for my National Health Service.
Universal healthcare is just a good thing.
http://www.theguardian.com/news/datablog/2012/jun/30/healthc...