I swear anarchists have to change their name. Socialists too. Popular conception of these things has traversed too far away from their original meaning.
I read Section 8's link's introduction and it seems accurate so far. A really good introduction to anarchy can be found
here, in library-sized faq form.
As for anti-Americanism... I really never experienced it myself. I am an American, and I talk to people who are accused of being anti-American all the time. Why do they talk to me? Why do they turn to
Noam Chomsky (an American) or
Howard Zinn (an American Veteran of WWII) for political guidance?
My conclusion is that, just like affirmative action, "anti-Americanism" is a wedge tactic thrown into the public to divide people (in this case, normal white people from the left) and make them ignore the real issues. After all, why would you embrace dissidents if you perceive them to be fanatics who wish to destroy your way of life? Why would you, as a Christian, think of reading anarchist or communist material if you perceive them to be anti-religious monsters? Or Stalinist zombies? Fascists. Etc etc.