Kaj's political views likely played a part in how he saw this, as would anyone's, but I don't get the sense of "I'm gonna stick it to the other team" from Kaj here.

EDIT: BUT, I think political views likely played a part in the more general reaction, and thereby the resulting punishment.

EDIT2: see http://lesswrong.com/lw/kfq/moderator_action_eugine_nier_is_now_banned_for/b2gp

Personally, I'm glad Eugine is gone, because even without the downvoting he was an asshole. And having anti-feminist or biorealist assholes running around is a great way to drive off women and minorities.

differences between eugine's and kaj's political views

That's something that irked me as well: I would have preferred the ban to be performed by somebody other than a self-identified feminist.

OTOH, I have seen no evidence that Kaj's political views had anything to do with his decision (I just have a sizeable prior for it because he's human), and I can't even recall him ever talking about politics on LW off the top of my head (I only know about his political views from his comments on Slate Star Codex, and the idea of holding people accountable for things they've said in a different venue, well..., it reminds me of something.)