Both left-anarchists and right-anarchists (anarchocapitalists) tend to deny that the others are "true" anarchists.
In my view the main difference is not in their view of what should happen, but rather in their impossibly rosy assumptions of what happens next. Left-anarchists assume that if you get rid of the government the world becomes a left-wing utopia, while right-anarchists assume that if you get rid of the government then the world becomes a right-wing utopia.
To me, neither of these scenarios seems more likely than the other.
In my view the main difference is not in their view of what should happen, but rather in their impossibly rosy assumptions of what happens next. Left-anarchists assume that if you get rid of the government the world becomes a left-wing utopia, while right-anarchists assume that if you get rid of the government then the world becomes a right-wing utopia.
To me, neither of these scenarios seems more likely than the other.