I'm not saying it's a good system, but I'm not following your logic here. If the government is in power of your health insurance, how free are you? I can change my employer a lot easier than I can change my government.
To your point, the affordable health care act addressed the issue with not being able to get insurance due to preexisting conditions. In the US you're required to have healthcare insurance. You can buy it yourself, get it through your employer, or, assuming you qualify, get it from the government.
Also you're not required to have insurance. The individual mandate was repealed a couple of years ago.