Sadly, the anti-Zionists are not truly anti-statist. In their view we ought to have all the same structures under management of Mashaich instead. They lack sound economics, they lack hatred for the state apparatus, they lack sufficient interest in libertarian historical revisionism and conspiracy theory, etc.
Here is a cutting remark by Rabbi Yitzchak Ze’ev Soleveichik that brings this to the fore:
But as the Brisker Rav once pointed out to Rav Amram Blau, even the fiercest anti-Zionists often act as though they are living in a Jewish state in which they need not worry about the harsh responses they would receive for similar acts in chutz l’Aretz.