Alban Berg is sort of in the same vein as Stravinsky, I think (help me out on that one FreeThinke). A friend of mine is a composition student, and whenever I ask him to give me some music along the lines of Stravinsky, he'll either give me something from Schoenberg, Berg, or Webern.
When I listen to Berg, the sense I get is that he's trying to show the weirdness and darkness of life. A lot of Beethoven's work, for me at least, is more about the complexity and potency of raw human emotion. It's not like the Romantic period, where emotions are treated much as an adolescent would understand his or her teen angst; it's more about the emotions we feel when life hits us with an incredibly difficult situation.
Berg seems less about emotion and more about madness. If you've never seen his opera Wozzeck you would immediately know what I'm talking about. Life is difficult, cold, and dark. Some of us are able to go on, but others are driven to dispair and even insanity.
Berg wants us to see life as it is objectively and not necessarily through the lens of our own emotion and understanding. Instead of trying to elicit a specific emotion in the audience, perhaps he wants the audience to find something out about themselves.
Enjoy, and have a wonderful Sunday =)