It's just simple game theory. People will choose to use the hardest money in a free market, and so will governments. It'll benefit everyone in the end. There's a reason why nation states adopted the gold standard, and bitcoin is following the same trajectory. Governments that ban it, will be left behind.

It has almost nothing to do with anarchism, other than restricting the power of governments, and fostering collaboration instead of coercion. It'll return responsibility to governments.

There could be an anarchist shadow economy, if governments banned Bitcoin, but I'm not talking about that. It makes economic sense for governments to adopt bitcoin instead of fighting it. In democratic countries, there's no way to legislate the banning of bitcoin.