So it looks like a nice real life Libertarian experiment to me.
It's a deflationary currency that enables decentralized commerce. I think that in and of itself speaks volumes about the philosophy behind it.
Right now bitcoin is the star of the ball, but the other altcoins represent a significant amount of value. There is nothing guaranteeing that bitcoin will stay the star.
As to the decentralised nature, I'm not convinced that really appeals to any deep philosophy other than our greedy nature to want to be able to own what we think we should own.
There's nothing particularly deep about libertarian philosophy. (Though there are different amount of nuance depending on which flavor of libertarian you manage to get into a conversation with. Some of them are competent thinkers; I have found them to be exceedingly rare.)
Many flavors extol the virtues of selfishness, though. You'll find this is particularly true with libertarians who agree with Ayn Rand. Even those who don't will generally say that people should look to their self-interest (it no longer appears popular to invoke the invisible hand at this point; maybe because of the intervening years of people noticing that Adam Smith had a lot to say that contradicts libertarian ideas) and use abstract forces like the price mechanism to determine policy. (This is a very rough sketch.)
...and anyways, I'm spending too much time trying to be fair. Libertarianism is fucking stupid, which is an opinion I have based more on its political bits, which is a teenager's idea of society, than on its economic bits, which I'm willing to concede more because I'd rather claim ignorance than because I think there's any merit there.
The point is that looking out for number one is a cornerstone of varying intensity in libertarianism and Bitcoin's deflationary and decentralized nature plays very directly into that.
Agreed, we need to build better software around the bitcoin protocol, with a cleaner UI. People are working on this problem. (haha, "bitcon", I bet that's gonna turn into an insulting dysphemism soon).
> and the libertarian philosophy around it.
There isn't any inherent philosophy in the protocol. You can use bitcoins with a tinfoil hat firmly planted on your head, or you can use bitcoins to build centralised banking again if you want to. It's just a tool.