Biased Reception Of Corrections
What aroused especial interest in one recent study (pdf) was the claim that conservatives are more susceptible to this bias than liberals. But I think there's room to be cautious about this result based on the design of the instrument. If we're testing contradictions of people's political beliefs, liberals and conservatives have to be exposed to different contradictions. These contradictions have to be chosen by someone -- the researcher. But researchers, being people, are presumably subject to the same biases as the subjects. There's no objective way to rate the contradictoriness of statements, nor is there a comprehensive database of mendacity that can be randomly sampled. That means that it's difficult to trust that the researcher would be able to select equally clear, and equally deep-cutting, pieces of contradictory information for both liberals and conservatives. The problem is greater when fewer contradictions are used -- e.g. the study linked above examined only three, rebuttals to "Iraq had WMDs," "tax cust increase revenues," and "Bush banned stem cell research." A liberal researcher might, thus, tend to select minor hypocrises by liberal politicians and major ones by conservatives as a way of protecting their own beliefs. Or they might overcompensate for their own bias by picking worse liberal examples. Or they may simply misunderstand what will come off as a serious versus minor contradiction within the conservative worldview, since they don't share its premises. And all of this applies mutatis mutandis for conservative researchers. Meanwhile, readers would have difficulty verifying the comparability of the contradictions, being human beings with biases too. (Note that the study is far more cautious about the liberals-vs-conservatives claim than the news report linked in the first paragraph.)
All of these concerns apply just to the question of whether conservatives or liberals are more subject to confirmation bias. That the studies demonstrate the existence of this bias in both parties, and can elucidate its mechanisms, and can relate it to other variables (gender, age, etc.) or psychological processes is not in question. But to have confidence in a finding of liberal-conservative difference, we would need a large difference shown in multiple high-quality studies of a variety of different contradictions by researchers of different political persuasions.
Then again, maybe I'm just biased against declarations of conservatives' inherent stupidity.