I think most people wouldn't mind if it was a hundreds dollars a year more.  But when it is thousands or ten thousand more or see their main insurance provider leave their state because not enough young people join, then they get really annoyed.   

We in Canada don't quite see the real bill, but there's a reason why many of us are paying 54% marginal tax rates.

The real problem is that not enough young people in the US are buying health insurance.  If the young people want to save obamacare, go organize all your friends in school and all go buy a high-end health insurance so the insurance companies can afford to stay in your state.   If all those healthy young american college kids who never get sick would just buy the good (platinum, not the crappy one) health insurance, the system would work and premiums will go down.