Good point, but ObamaCare isn’t really “socialism.” It’s more accurate to describe it as state-sponsored fascism, where people are obligated to conduct business with private companies under mandates imposed by the government.
As far as I can tell, the only difference between socialism and fascism is that in socialism, the ruling body appears on the surface to be democratic, while in fascism there is no pretense about where the real power resides. In either case, the state takes your money and distributes money, goods and services as it sees fit.
If the existence of private companies in the health insurance business today is clouding the issue of fascist vs. socialist, just wait. The end game is single payer. They first had to "prove" that private companies couldn't make the system work. Then they scream for single payer. When the foolish voters get their wish, socialized medicine will be in place and there will be no going back, no matter how horrible the system is. And it will be horrible.