Based on Obama's first term, he was much more centrist than expected... and I believe it was because that's where you have to be to get elected.
He now doesn't have to worry about being re-elected... and nobody's gonna vote for Biden in 4 years, so he can do whatever he wants.
I do not believe Obama to be the muslim, socialist, leftist that apparently a large percentage of people believe him to be, but I do believe that he will move noticeably left over the course of this term.
We shall see.
I think he wants to move to the left. But with Republican's controlling the house for the foreseeable future, his ability to move to the left is going to be severly restricted.