No we're not stuck with him. Most Freepers wanted someone else. As I recall he was elected on the sixth round of balloting, so he was far from a unanimous choice.
I don't even accept the notion that we're "Stuck" with Obama....if we can get him impeached on proper grounds, I'd say we should do it. The problem is that he has a Democrat Congress who won't do it. He's already broken his oath to "Support and Defend the Constitution of the United States". None of the programs he just rammed through satisfy the requirements of the Tenth Amendment of that Constitution he swore to support and defend.
What does that tell ya?