I know that for some, bitcoin seems to be a solution looking for a problem. But there are those for whom the idea of a currency that is disconnected from a national bank is very attractive. The idea of a "free money" (free as in freedom) has long been a dream of many anarchists/libertarians. This is not to suggest that Bitcoin is a final answer to that issue, but it has proven that the concept has a chance to succeed in the real world, and not just in the writings of idealists.
Anarchists such as Benjamin Tucker were advocates of "free money" at least as far back as the 19th century. Of course there was no way for them to have imagined an implementation like Bitcoin.