To me, anarchism means the questioning of all authority and dismantling of all illegitimate authority. Sometimes an authority can be legitimate. Crime prevention isn't really a problem because people who have no incentive to commit crimes generally get along just fine, and preventing someone from committing a crime is less of an infringement on freedom than that person would have committed. Remember, in anarchist society, your freedom ends where somebody else's begins. You are not free to go around destroying other people's freedoms, which is one way to look at crime.
Also, what Future said above ^.
"This is my test of character. There you have the despotic instinct of men. They do not like the cat because the cat is free, and will never consent to become a slave. He will do nothing to your order, as the other animals do." — Jean-Jacques Rousseau.
"The intellectual and emotional refusal 'to go along' appears neurotic and impotent." — Herbert Marcuse.
"Our blight is ideologies — they are the long-expected Antichrist!" — Carl Gustav Jung