Hmm...
-Political opinions by regular everyday people (including those on forums AHEM) don't matter at all.
-Who wins most individual elections doesn't actually change the course of history that much--elections are more often symptoms of societal issues than causes.
-Direct democracy is actually generally a bad thing, as it just leads to the loudest demagogue winning.
-The main goal of foreign policy should always be to avoid war/violence as much as possible.
-Political correctness is a plague--and the right is probably just as complicit in this as the left if not more. Also "trying not to be politically correct" is the same thing in reverse (i.e. valid positions are often attacked as "oh you're just being PC"). In any of it's forms it kills discourse, which is bad.
I think I have a few more, but as I said in my first one it doesn't really matter. 
I don't see why any of these should be unpopular or bad...
