My understanding of Hillary's plan, I read it but that was long ago in a galaxy far away, was as I remember it, for the government to provide a pool of private insurance companies that would offer plans at reasonable rates.
You could still keep whatever insurance you have now, but for those without company sponsored insurance, the rates you could get health insurance would be comparable to what most people pay for company sponsored ins. Don't know why that would require doctors to oversee. I don't remember anything about the government seizing private property.
I have good insurance. My interest in this is mainly because I am tired of my insurance paying for all the people who don't pay anything for their medical care, and it gets rolled to those of us who do. This raises my rates, and I don't like it!