My idea is that anarchy is more of a lifestyle choice for the kind of people who don't like following orders and wish they could do what they want, and in theory doesn't have to do with the government. The conflict come when government/tradition/religion etc get in the way of this idea of radical individualism and freedom. In a sense anarchy comes from too much freedom or the desire for more freedom, and if anarchy ruled the world would be in constant war with itself because everybody wants different things and get in the way of each other, and without laws they'd fight. That's what laws from the government and otherwise are for. And since true laws came after the development of civilization and have grown at the same rate as civilization etc etc, the more complex things become the greater the governing forces/anarchy becomes.
Another way to look at chaos/anarchy comes from an mmorpg I play where chaos is the third party against both good and evil, which if you think about past the oversimplified way that mmorpg puts it, chaos is a rejection of absolute moral law, where one does everything on a whim and is all helter skelter, coming close to insanity.
Usually the anarchy supporters of the world are angsty teenagers who hate being lead or are bitter from a childhood of being catholic (no offense but my parents and other people in their generation tell me stories about how miserable their lives were when they had to go to catholic schools etc and also i'm just a raging protestant. My apologies to any catholics reading this please don't take it personally.) and want to fight back against the system and are really just a bunch of posers. It's all angst I tell you, angst!!!