ACA is a surprisingly right-wing idea. Obama is a moderate for pushing it so hard. ACA will only work if the free-market steps up its game to rectify the price-discovery problem.
Its mind-boggling to me that the right-wing doesn't like Obamacare in general. The major 'left wing' portions are:
1. Individual Mandate (but all Republicans agree that pre-existing conditions are bad, but they have no idea how to get rid of it)
2. The health care exchange website (Republicans don't seem to like new government programs at all)
And... that's about it. Everything else attempts to leverage the free market infrastructure to solve the problem.