Uh, no. *Some* of the people on each side believe they're right. I'm pretty sure that John Boehner is just trying to protect his job (position as Speaker of the House) and wishes the Tea Party never made the demands in the first place.
And what gives you such deep insight into the minds of others, to accurately judge who is sincere or not? Remember, no one sees themself as the villain of their own story; most people have layers upon layers of rationalizations, justifications, and excuses, which combine to form a 'moral code'. It's entirely possible, even probable, for someone's motivations to be completely consistent with an earnest belief that they are in the right, even when observers see their actions as corrupt and self-serving. Even serial killers and child molesters typically have worldviews that frame themselves in a positive light. It takes an unusually honest disposition to admit to flaws in one's own character, even to oneself... and politicians are not generally known for such honesty.
It's actually much more complicated than that, and your analogy is a good example. Many child molesters, for example, are consumed by self-loathing, but unable to control their behavior. I recall the story of a child molester from some years ago that begged to be kept in prison when his sentence was up, because he knew his own destructive behavior was beyond his control (and sure enough ended up re-offending). Whatever insights they may have of their own psyche, they are still driven by the desire for that quick release or physical pleasure they get out from the act. Drug addicts, serial rapists, wife beaters, etc., all fit into this pattern, unable to control their emotions. But nevertheless they typically do view themselves as villains.
Now I'm not saying that John Boehner falls into this category, but there are many justifications that the mind can come up with, including following a path of supporting an evil idea, simply to remain in a position to do a greater "good" later. Harry Reid may be using a similar justification to support Obamacare, telling himself that all the harm, destruction of the economy, loss of jobs and and other bad consequences are worth if the final collapse of the program leads to fully socialized single-payer healthcare system.