The president has said that he is not an ideologue. And I believe him.
As I was saying to a co-worker recently, I see Obama as rational, realistic, and responsible. Today on Meet the Press (yes, sorry, I was watching again), the commentators kept trying to push him into one or another camp: Is he more centrist now? Is he too left-leaning?
Rational, realistic and responsible: It means that he will take a centrist or right-leaning action when that is the right thing to do. (Tho, for myself, the "right" thing to do is seldom found to the right!)