What's not to like about healthcare? The US is finally, as a country, getting universal healthcare [not free, but it's a step] -- those who defy the requirement for healthcare are penalized, which provides money (as far as I'm aware) for the basic government-provided emergency care that the uninsured must turn to when they fall ill or are injured. It's not fair to allow a single accident to bring an entire family to economic ruin, and PPACA prevents that.
This might seem like an infringment of rights -- but if you're not completely closed-minded about the issue, the first affront of having to pay for something against your will is dwarfed by the fact that this law prevents people from having to resort to governmental economic aid after the financial collapse of their family, which appears to be the only thing the right wing hates more than imagined slights against their freedoms.