From a technological standpoint the incentives of mining and maintaining full network nodes have led to the first implementation of a public shared data store. Neither Bittorrent, Freenet, nor DHTs of any sort satisfy the conditions of being public, having equal access read and write privileges and data that is always available.
You can't have the benefits of the blockchain without the incentives that the units can operate as a currency and be traded for other things of value. That's what keeps everyone validating and making the data publicly available.
The politics are a completely different beast. The anarcho-capitalists and other anti-government proponents who have claimed Bitcoin as their own are living out a fantasy.
I don't think that Bitcoin is going to be the downfall of the nation-state. I think it's going to allow for some very interesting types of software to be made.
Please don't conflate Bitcoin as a technology with the mad ramblings of a bunch of basement dwellers.