You may have seen this clip where Jon Stewart asks Kathleen Sebelius about the health care law. Jon Stewart earns his bread by pointing out the foolishness of politics (mainly Republicans) and mildly advocates liberal agenda items. Him having issues with Obamacare reveals how poor a job the administration has done selling this law. (You could say it's because Obamacare is a disaster, but Stewart doesn't even understand it, as I'm sure most Democrats do.) Basically, my theory is that most Democrat voters approve of Obamacare because it expands coverage, and that's all they care about. They don't care about the details of how it's done, or all the other rules that have been put in place to regulate the market. More people will be insured, therefore, it's a great law.
Secondly, I don't understand how Kathleen Sebelius could be so bad at answering these questions. If I had Sebelius's job, I would say that, while we could delay the individual mandate, it would dismantle the rest of the health care law. By doing this, X million people wouldn't get coverage in the first year of implementation, insurance companies would decide not to participate after next year (they're already locked in for 2014). It would be a huge disaster (for the healthcare law).
All they have to do is convince people who are already inclined to support Obamacare, and they can't do that!