Check out the political compass, which is an interesting way to conceptualize political leanings. I don't think the test is particularly good (I have issues with a few of the questions), but the answer I get is pretty close to where I think I should be placed, so maybe there's some merit to it.
I'm consistently in the bottom half near the center line, and the two major parties in my country are in the top right. I guess that just demonstrates why I fail to see much difference in what I care about in the two major parties, since moving toward either direction is a move away from me.
Anyway, I hope this is a decent demonstration of how the left/right divide doesn't tell the whole story.