It will not. Digital currency needs big network to be in place all over the world. With few countries as exception I think there are many countries who are away from the digitalisation. In the process these countries may not participate and thus it won't be worth loosing them.

Todays currency is governed by rules, thats why it works so smoothly all over the world. We exchange currency with different values which makes the balance of financial system. With bitcoin being equal everywhere it would be chaos because all countries will stand at the same stage and there will be issues with power empowering with goods and services. Everyone will have power to buy everything, For Example, military, food and fuel which are limited in the world. That will bring devaluation of everything as every country will have the money in equal stats. I hope you understand what I'm trying to say here. The equalisation of the world will actually imbalance the countries!
May be it won't happen and not all government will approve this change.