The fantasy-story of right-wing anarchy is creating misinformation, someone thinks that something like “anarcho-capitalism” is real philosophy, instead of the linguistic distortion of fascist-capitalism that it is.
Should people even specify that they are left-wing anarchists now? Do we really want to put a stop to this propagandistic joke? Anarchy will always be the extreme left into the political pendulum.
And I will tell you more: anarchism is by its nature also pacifism, as it aims to prevent any form of uncontrolled power on others. This is to silence even centrists: another fake group, people who think that it’s not “extremist” in its own abstinence, in delegating violence.
I have a hard time believing it can be non-violent. Parallel power structures will be met by violence as soon as they become a threat to the establishment. It can’t be built up to the capacity to rival the state’s power in secret, it’ll be identified and eradicated prior to reaching that point.
Defensive violence seems unavoidable, but I see your point about not needing to initiate the violent overthrow of the state.