I think that a religious cult like Christianity, which has a firm hierarchy, isn't really compatible with true anarchy. Eliminating the power of a state, but keeping the power of a religion still makes you a slave to a master, or higher power.

And so I don't think Christianity is compatible with true freedom. The idea that you have "the freedom to sin (or else)" or something, isn't very logical, so at its heart, if you're a Christian, you need to follow the rules (or else), which means you need to follow a lot more than the NAP or golden rule.

This defeats the purpose of trying to be free.