Bec areful of what you wish for. In Australia, we have Medicare, which costs 1.5% of your taxable income, sets the fees that Doctors "should" charge and only reimburses around 65% of these fees. Guess what, Doctors charge lots more than the "recommended" fees and the benefit is still the same, so we pay the difference. Unless you have private insurance, forget any form of public hospital treatment for at least 2 years unless it is life threatening.
We also have laws that unless you are in a private health fund by age 31, the premiums increase by 2% for every year thereafter. We used to get 30% of our private health insurance back (employers don't pay this - we do), but now the Government is going to "means test" this (i.e. you earn lots and pay more tax, you get less). The system provides everything for the poor and absolutely nothing for those with an income.
I would rather have no medicare and only private health insurance and the public health system has to compete with the private system. Over here, Governments invest Millions in builting new hospitals, which are then staffed by Government workers who don't give a damn and are massively inefficient.
Public health, look at Britian where it has nearly sent them broke.
We have another problem with subsidised pharmacy drugs. The cost of these subsidies is in the Billions of dollar per year. Got to love socialism.