This isn't quite socialized medicine - yet. It's subsidized insurance. Insurance that is way too expensive with deductibles way too high for the takers to be happy with - once they find out about it.
Suckers.
I agree that it will be an unpopular mess — even more than today. But the result will be a complete government takeover. In Russia, the anarchists led the way, then the Bolsheviks stepped in to take charge.