The premise of your argument falls apart if you really think about it for a minute. Switching to a single-payer model doesn't mean healthcare jobs disappear. It would kill off the insurance companies, but it would not reduce the demand for skilled healthcare workers. It seems like you are arguing that 'socializing' medicine requires that we get rid of hospitals entirely. We could still have for-profit hospitals if we drastically reduced the size of the private insurance market.

I feel like you are making a lot of assumptions about how we would fix our health care system that are unfounded.