As an ex conspiracy theorist myself I used to think that alot of debunking was just as what is described by Mudd and Oxy (paradigm proponent, or whatever else you want to call it.) My feelings were essentially that people debunked conspiracies with the mindset of "It's a conspiracy so it just can't be true" so by way of confirmation bias debunkers would only evaluate and address evidence that supported their claims rather than evaluating evidence from both sides to reach a conclusion.
To be honest, I do think that mindset is present to an extent here, but that isn't to say that conspiracy theorists are any less guilty of this. As I've shifted my perspective, I notice alot of the confirmation bias within the conspiracy community, and to be honest, I think they are a great deal more biased than the debunking community. So many conspiracies and other bunk is very reliant on cherry picked facts, suggestive narration and distorted context.
What is inescapable about conspiracy theories and other bunk is that they are often deeply intertwined with political, religious, and superstitious views as most conspiracies generally involves one or more of the three categories. So as a debunker, you're not just dealing with facts and logic prove your case, you are also dealing with the deeply held convictions (and often times emotions) of another individual whose beliefs are not so easily swayed. And yes, skepticism is too a deeply held belief. I prefer to think of it as a rejection of claims not supported by evidence. Some of you might think if it as just a pompous term for A Doubting Thomas, and that's fine. If you see a flawed argument or have evidence to present I encourage you to present it, the people here are generally alot nicer than the rest of the internet, and I will be the first to admit that I do practice alot more restraint here than I do other forums to keep things friendly. We're all human beings, imperfect and biased. As I've shifted my views, I now try to view subject matters outside of a political or cultural context to try and gain a different perspective on things. For me, this the best that I can do to look at something outside of my personal American, Liberal, Sub-Urban, Atheist, Middle Class, world view. It's part of keeping an open perspective and being honest with myself to make sure that I'm not believing something simply because I want to believe it.