Interesting choice including Republican and Democrat, there. I don't think they're stupid, but if someone identifies themselves as "a Republican" or "a Democrat", as opposed to "the Republican party best fits my views", or "I'm a registered Democrat", I pretty much write off any chance of having a decent political discussion with them. A large segment of the population follows politics the way they follow football, e…
And if you're turning to the Wall Street Journal or New York Times to learn about the finer points of Nozick's critique of Rawlsian liberalism... well, then you're the dupe, even if it's of a "pox-on-both-your-houses" variety. Thinking too hard about whatever outrage-of-the-day Mitt or Obama has done is a similar waste of time--it's not that there isn't conceivably some correct position about whether eating a dog or strapping them to your roof reflects worse on your character, it's just that it's all a smokescreen.
Given that, I'd say you have to pick a side. If you end up rejecting politics because it isn't the Oxford debating society, you've essentially let the other side deprive your own side of a valuable resource. It might suck that you're stuck in a game not of your own choosing, but if someone's kicking you on the ground, you don't quietly accept it because they're not following Marquees of Queensbury rules.