Why don't you try praying for Obama, that at the times he's (hopefully) seeking God that the Lord guides and leads him. Also pray for the believers in Congress that they would not be motivated by pride but would instead seek to serve the public by working with Obama to accomplish a greater good. I'm non fan of the POTUS (I'm a registered Independent) but try to focus on the positive things he's done so far for this country. He actually chose to add the 4 words "so help me God" at the end of oath when sworn in for 2nd term, which I know teed off a lot of his base, and I praised God for his public declaration.
As you're a registered Republican, I would encourage you to maybe learn about Obama and his presidency from non-biased standpoints (as opposed to the pundits out there). Frontline on PBS's website did a great Romney/Obama documentary just prior to the 2nd election, and I understand Obama more, though I never did vote for him.
In the end, recognize that Christ will ultimately return and restore us and our earth anyway - that's what I focus on now!!