The first half of the solution will be mopped up by Bitcoin ATMs being pumped out worldwide. There are no less than four companies doing mass production of them as I type these words, three of them full ATMs with 2-direction sales, and one (the Lamassu, which only costs $5k each, made in New Hampshire) only Sells bitcoins, so they can get sold in the USA without the need of the payment network license nor AML/KYC compliance. This means that all Americans will be able to BUY bitcoins easily, but the rest of the world will be able to buy & sell bitcoins easily... Which of course will destroy western union pretty damn quickly.
The 2nd half of the solution is more dangerous but exciting; decentralized exchange marketplaces will give just about everyone on earth the ability to start their own business selling (illegal but untraceable) financial instruments that can be used in place of local currencies on these exchanges. There is some seriously heavy interest in this area already; even some silicon valley funding! Naturally I wouldn't trust the provider who shows his face, however.
Yes, the world's governments are definitely going to let Bitcoin ATM's proliferate, and thus part 1 will definitely unfold with one hundred percent certainty. They also definitely won't attempt to introduce new legislation that allows them to criminalise anyone who installs a BTC ATM on their property, or accept physical payments via BTC in their stores.
The future is bright. The future is Bitcoin.