Mistress Kidh wrote:
Anarchism is a radical ideology centered on opposition to the state and to private ownership of capital (because it is a situation of hierarchy similar to the situation created by political government).
Anarchists like bombs.
Well...I think all forms of anarchism are opposed to the state, but there are quite a few schools of thought self-identifying as anarchist that don't oppose private ownership and that are pacifist. This Wikipedia article has a pretty good overview:
http://en.wikipedia.org/wiki/Anarchist_schools_of_thoughtI've personally done quite a bit of study of Christian anarchism, which (depending on who you ask!) is founded on opposition to
violence rather than opposition to hierarchy. According to the anarchist writers I've read, the state is evil because it is founded on violence, not because it's an authority over people. An ideal society in this view would still be one with hierarchy - in families, in the Church, &c. The authors I've read also don't oppose private ownership per se - they still think people have a right to own things - but they encourage giving and sharing.
At some point I will probably write up a big explanation of Christian anarchism and the best arguments for and against it, but right now I'm too busy.

Mistress Kidh wrote:
I am especially working through whether the way they propose to structure society would work at all.
You may want to read Ursula K. LeGuin's novel
The Dispossessed, which has a very good and very believable portrait of an anarchist society. (Content warning: There is quite a lot of discussion of sex and related forms of immorality, and one actual scene that I skipped...but this is one of those books that I think is worth getting through all the ickiness.)