The DNC is doing fine, they're raising more money than ever. Sure, those statements are going to be tough but they can be worked around, especially considering that elections are between two candidates, and it's easy to hit a guy when there isn't anyone running against him.
First: Gitmo nobody cares about except progressives and they'll pull the lever once they see who is running against him. The Iraq war is as good as over since we're not taking casualties. The stimulus will be a problem in that it wasn't big enough for the job, but in the face of a Republican whose solution will be to lower taxes for the only people that aren't suffering, he'll do fine. Health care reform is popular on the merits and repeal isn't as popular as it was in 2010, so much so that allowing the law to work or strengthen it is the plurality position.
Second: Libya doesn't involve troops, so Americans hardly care and Republicans will never be the anti war party. The deficit reduction deal that is coming down the pike will be owned by both parties and the Republican candidate won't be able to hit Obama hard on it since his party went along with it anyway, and when you get into specifics almost every cut is unpopular. A worsening of employment would be bad, but all the President has to do is put out some proposals for the Republicans to block and keep things from getting worse than they have been recently (most of the public still assigns Bush blame for the economic collapse). Americans don't care what foreigners think. Immigration enforcement has been stepped up during Obama's term, with deportations up, the fence almost done, and more guards on the border. All he needs to do is emphasize some small immigration reform and he can increase turnout among latinos. Your last point makes no sense.
In short, Obama is not Carter, or Clinton, or Reagan, or anyone but Obama. He got Osama, he's got cred on foreign policy now and Americans broadly like the man, even if they don't care for the direction of the country.