Well your assumption is slightly flawed.
You're assuming that Life Expectancy and Overall Health are directly determined by the health care system. While it is of course true that health care affects those two greatly, a larger determination is our lifestyle.
Let's face it, Americans as a whole lead much more unhealthy lifestyles than the rest of the industrialized world. So, while other countries might not fund their health care systems to the extent that we do in the US, our health care system is starting behind the curve because our citizens tend to live so much more unhealthy lives.
