Anarchists such as Brian Morris argue that anarcho-capitalism does not in fact get rid of the state. He says that anarcho-capitalists "simply replaced the state with private security firms, and can hardly be described as anarchists as the term is normally understood".
Similarly, Bob Black argues that an anarcho-capitalist wants to "abolish the state to his own satisfaction by calling it something else". He states that they do not denounce what the state does, they just "object to who's doing it".
[1] https://en.wikipedia.org/wiki/Anarcho-capitalism#Criticism
Furthermore anarcho-capitalism has no connection to the wider anarchist movement (and is quite recent) and did not grew out of the anarchist tradition.