I think the general cypherpunk/crypto-anarchist idea is not to replace the current system, but to create a parallel system in which you have the ability to opt out of the current system. Or, at least, insulate yourself from it on some meaningful level. Bitcoin is seen as a way to do that.
I'm putting together a longer-format note on a good talk that OG crypto-anarchist, Smuggler, did on this topic. Will publish in the next few days.