The health systems in Europe are not radically different from the US system. The efficiencies of each are difficult to quantify without context. For example, the US invents most of the drugs and medical technology used by the world. Would this still happen if there was more invasive regulation? We can't know.
Besides all of this, think of every other area of the market where the government insinuates itself. Are public schools better than private schools? Almost never. Is the US postal system better than FedEx? Of course not. The government is not a commercial entity. The incentives and influences on it are not conducive to producing quality products at good prices.
Some people are price sensitive. Cheaper is all they can manage to afford and are willing to accept less quality in return. As a healthy person I'd rather take a two percent annual increase in insurance premiums for lower quality of care since I do not have much need for services.
"As a healthy person I'd rather take a two percent annual increase in insurance premiums for lower quality of care since I do not have much need for services." -- And I wouldn't. Why do your views trump others who disagree?