I can tell you that there's a lot of manipulation in that subject.
For example, in Spain the falangist flag has the colours of the CNT (ConfederaciĆ³n Nacional del Trabajo). Buenaventura Durruti had a brother called Marciano Durruti, who was a falangist despite the attempts of his brother to convince him. So, some fascists here manipulate him and put fascists phrases in the name of Durruti, but thinking in Buenaventura Durruti, who was a revolutionary anarchist.
Also, I have found texts of nazis that said how Bakunin told Marx and The International "jews" in despective ways. Well, this text wanted to prove how great anarchists though that jews controlled the world through capitalism and communism, which is wrong.
Historically and in theory (except anarchofascism/national anarchism and anarchocapitalism, which I don't consider anarchism), anarchists have been against capitalism (right-wing) and fascism (right-wing), and are definitely against them in their ideas. In some cases they have colaborated with authoritarian socialists, with disastrous results (see anarchist government in Spain and Kronstadt rebellion).