I find it interesting that Alex as a character enjoys things that seem completely opposite. For example Alex likes doing things like beating up random people, taking drugs and rape, but he also has good manners (he always says "yes sir,") and he loves classical music which is normally thought of as proper and high class. Maybe Alex doesn't think of them as opposites. He truly seems to enjoy ultra violence in such a way that he almost finds it elegant. I think I remeber him saying at one point in the book that he thought beating people up was beautiful which would make sense if that was true.