The US has a health care system? This is news to me.
The US has lots of health-care systems, including some that are funded by The federal government. In fact, we are going broke in part because of those programs. We also have quite a few great docs and medical centers. If you are sick and your insurance is good enough (or you are wealthy enough, or the doc is also nice), and you know how to find the right doc, it is some of the best care in the world.
We also have bad medical care, on a par with or below what most Canadians get, for example, in a lot of our Podunk hospitals. (Their fedgov has just dropped the ball on a huge portion of the bill for health, so the delay times are going to get even longer).
What we lack is complete coverage of the population, coverage that makes it possible to be a rational economic actor, or good preventative care. We also have a really phenomenally stupid way of coupling health care to employment.