Here's one possibility: Sunny countries will begin to make a lot of money generating solar power and selling it to cloudy countries. North Africa, for example, could easily support all of Europe's electricity needs if we find some way to keep sand off the solar panels. But all of that money goes into the pockets of African and Middle Eastern autocrats, and the world enters a new era where everyone tries to grab the sunniest parts of the world ... umm ... wait a second, those are the same areas where we're currently killing people for oil. tl;dr: History repeats itself.
But on the flip side, solar energy would allow humanity to make good use of some of the most barren parcels of real estate in the world. Instead of using fertile fields to produce biofuel, we could use those fields to produce actual food and leave power generation to places like Arizona.