it’s not mental gymnastics, all definitions of authoritarianism have ideological assumptions baked in
They really don't, but go on.
overthrowing capitalism is going to be authoritarian from the perspective of the capitalists.
Not necessarily, but that is one method.
i am opposed to a dictatorship of capital, which is what both republicans and democrats are in favor of. that is liberal authoritarianism
Right, but you're for dictatorship of another flavor, ergo you are not an anarchist.