Anarchists advocate the smashing of the existing state and the creation of federations of workers councils and militias. This is a state and a dictatorship of the prols by the extremely broad definitions Marxists use: its workers with guns imposing their will on capitalists.

Although workers councils and militias are structures which use coercion against the capitalist class, they are not a state by the anarchist definition. This is because they are not centralised, hierarchical and ruled by a minority who monopolize decision making power.

Both Marxists and anarchists agree on the need for a social structure which performs the function of being an instrument of working class rule over the capitalist class. The main disagreement is about how to establish, organise and make decisions within it.

For example lots of Marxists advocate seizing the existing state and converting it into an instrument of working class rule. Anarchists reject this in favour of constructing the instrument of working class rule independently of, outside of, and against the existing state.

Or lots of Marxists advocate elected representatives within a central committee who have the power to make decisions. Anarchists reject this in favour of mandated delegates who lack decision making power and can only do as instructed by a general assembly who elected them.