In my opinion, Obama has strong reason to believe that the Supreme Court will strike down Obamacare. Therefore, his strategy will now be to convince the American people that the Supreme Court is somehow irrelevant, and has no business deciding issues like this. There will be a steady drumbeat about these "unelected" judges "interfering in matters in which they should have no say to begin with." Obama's flunkies in the media are already beginning to pick up on this message. This isn't a temper tantrum on Obama's part - this is damage control.
The majority of Americans, my wife included, don’t understand why Supreme Court Judges are appointed for life. They could follow blindly someone suggesting they should be elected and serve terms like everyone else. I had to educate her last night that our Founders knew that if SCOTUS were deciding cases based on what would get them reelected, America would be a whole lot uglier a place to live in today, if it survived at all.