I don't mind that, as long as every pays the same amount no matter one's financial situation. Also having the poor having the same medical attention as the Rich, meaning the Rich not getting more medical attention than the poor.
We all know the Rich can afford it and more because of their wealth and they'll settle on a deal where the middle class would bear the brunt of the premium and where they'll lose more medical services because of paying more to cover the poor.
Socialized Medicine is okay if EVERYONE Rich, middle class, poor receive the exact same medical attention and NO xtra coverage who has the money to do so.