Here in Quebec, the health system is a Province thing. It costs a LOT of money. If I remember correctly it is around 42% of the province's budget. Sure, anybody can get about any treatment for "free". Since it all runs on "alloted budget", you will sometimes have to wait a long time for something that is not an emergency. As an example, I got a call last week for a consult in genetics (still trying to figure why, I think my file got switched with someone else's). Although there is no rush to it, my appointment is on June 15th, and I'm in the top priority cases....
Another bad thing about that system is that some people (mainly poor or old) will go to the hospital without valid reason, and they cannot just throw them out, they need to see a doctor first. Depending on the time of month (welfare check are issued on the first) and what is on TV (!?!?) the number of patients will vary. On the papers last week was a women who went 42 times to the ER in the last couple of years.... still with no diagnosis.
As anything that is state-governed, bureaucracy becomes heavy. There is about 1 administrative employee (from secretary to chairmen) for each care-giver (nurse, doctor, etc). There are lots of useless administrative levels such as the agencies, which no one can explain their purposes, still the administrators get bonuses each year...
For the record, my GF works in an hospital as well as other family members, so this is not hear-say.
I'm not saying the a Nationalized Health Care is a bad thing per se, but you have to be careful as to where the money is really going. Our system needs serious overhaul, and the government keeps saying they "invest" in health but they are really throwing money in a bottom-less pit.
Approx figures of taxes: (income taxes % increase greatly with income, mine being very sligthly over average)
Fed income: ~15%
Prov. income: ~20%
Fed sale: 5%
Prov sale: 8.5% (calculated on top of 5%)
You also need to consider that this health system does not cover glasses, dentist, etc. We still need to get a private insurance (most employers offer something) to get that covered, so add another 60-100$ / 2 weeks