I know that.
In the US, a market economy applied to healthcare limits the demand. Yet a lot of money gets spent uselessly in healthcare- and this happens even in government run programs.
People want more of everything, but there are physical limits about what is possible.
Even if each person get less per dollar than in other countries, for some reason I don't fully understand there is a high demand of healthcare, and also more distrust of an expert run system (like QALY evaluation in the UK)
It's not just an inelastic demand - it is more like a weird moral hazard scenario, or as if healthcare had increasing marginal returns for people utility function.
In this situation, replacing the market system by a government program might cost less in the short run - I fully agree - but much much more in the long run if demand is liberated.
That's because healthcare is not just like any usual good where you have reducing marginal returns, and it will be made worse especially after it has been "shown" that the endless money supply of the government can provide healthcare to anyone! ("shown" not as a valid proof, but as "noticed" by people who can cast a vote)
In the long run, I believe it will end up costing much more by this self perpetrating demand, up to the point it actually damages the economy.
A dollar spent on healthcare is not "productive" - healthcare is an investment with a negative interest rate. You can only put more money to try to keep your capital - but in the end you still die (maybe that's the reason for the increasing marginal returns - you need more and more of it).
It's bad enough when a country make debts not for investment but for consumption, yet it's much worse to make debts to "invest" in something like healthcare - with a negative interest rate
European countries are in for a bad day when they won't be able to patch the system anymore. In France IIRC the social deficit was around 100 billions in 2008 - much more than the government budget - with a 10 billions deficit just for healthcare. Now it's 160 billions in 2012 - http://online.wsj.com/article/BT-CO-20121001-707300.html]
Almost doubling in 5 years - let's round that to 60 billions per 4 years for a country of 60 millions persons.
Let's make some quick calculations.
Do you have any reason to think than, in a country with 5 times more people, and spending 16% of its GDP on healthcare instead of 9% in France (not sure about the precise %, but it's around 33% more), all others things being equal it won't create at least a 6051.33 ~ 400 billions deficit in 4 years?
(and that's a baseline scenario with an identical efficiency - with the highest cost of healthcare in the US, which can't be slashed in a day, I'd expect something at least like a 1000 trillion/5 years - and that won't be a stimulus, except for increasing demand)