Some possibilities:
a) Bitcoin remains a niche curiosity. It's the 21st century "tax haven" and supplants the various Cyprus' and Isle of Mans out there, but fails to starve other regimes. After some more banking collapses, various reforms occur around the world as mainstream finance finally realises it has to step up and perform better. New financial tools emerge: banking transactions become faster and safer, some offer features that were previously exclusive to Bitcoin such as irreversibility and maybe even some degree of anonymity. Governments start supporting various mini cash systems (as long as they get the tax of course), a bit like IPOs or redeemable coupons are fully accepted by society. Ironically, most people end up enjoying Bitcoin's benefits but without ever using Bitcoin.
b) Bitcoin keeps growing. Governments are unable to keep up, and eventually they start toppling due to lack of funds. People embrace this new low/zero tax Anarcho-Capitalist / Laissez-faire regime. Various social turnarounds occur: profit-driven education, health, justice, defence, infrastructure, central-planning, and superannuation (among others) ushers in a new era of prosperity. Even governments in various backward parts of the world end up collapsing as well due to Capitalism's unbeatable competitiveness. People have an epiphany and think "how did we end up tolerating all that authoritarianism for so long?! It's so nice that things are voluntary now."
c) Governments fight back. Being seemingly unstoppable, evil beasts that just won't die, they re-spawn as smart money-makers. How long Bitcoin "0.8" lasts seems irrelevant in the scheme of things. It's just a matter of time before the unfunded infrastructure collapses under its own weight. However, these money-makers will gladly produce newer, better coins that offer better performance and various other perks in exchange for