Proper anarchy requires a V For Vendetta approach to tearing down those in power. (If you don't know what I mean, read the comic. It's used as actual educational material in some college classes.) This is the omelet that requires some eggs, and chances are...it won't be pretty. And even then, there is no entire guarentee. But if it is to ever occur, there is one thing that anarchists are right about. All forms of authority must fall, and it will hurt when they do, badly.
But let us be honest, anarchists do not wish for chaos. There is a difference. Fact is, you can probably make your point without actually killing people, even, and people would look up to you more if you did. What do I want? Hell, I don't have a clue. But I would have certain qualities that enable me to at least put this sort of thing into motion. If I find the nature of government wrong, I would have the desire for it to change, and if I somehow found myself tearing down authority, I wouldn't want to replace it with myself. I would make a terrible leader. I'm most definitely evil.