>Why do many Americans like their health care system?

System? What system?

When I was employed at Siriusware, nine years ago, they had employees in eight states. They couldn't find any insurance that would operate in all eight of them.

If there was anything called "american system" it would work in whole US.

But there is no system. There's the health industry instead. You, as a person with health to care of, are just raw material.