He is a defensive midfielder in my opinion. He's great in the air and get's forward well, so if you've mostly seen him in highlights then I understand why you'd think he played a more attacking role.
Madrid is on the TV more than any team here bar Barca ... and so I've watched him plenty ... Alas, I'm not really that fussed. I can only hope you people prove us wrong, and continue to watch more footy than us 101gg addicts!