Few of those states invested in their people and their infrastructure. Instead they created an almost UBI for their population. It's enough to keep them relatively passive. Cheap gas and just enough to get by. All the while they've created a sense of entitlement in their population. Look at how they treat immigrant labor.
Sadly this population didn't take their minimal freedom to pursue the arts or sciences. While there are instances of individuals improving their life, developing skills and preparing for a post-oil world, the bulk of their society just floats. Moving off oil will pull the plug on their basin. Their societies will probably go down the drain.
Watch out for Europe when that happens. These groups will migrate north and west. I don't think you'll see an exodus into Asia. Given their poor skills, Europe will have a hard time incorporating them into general society. In the end they will probably ghetto-ize. Now Europe will be a melting pot of terrorism. Disaffected young males, the primary target of extremist groups, will be sitting, by the millions, in slums in and around major European cities.
TL;DR: Oil, for all of its faults, stabilizes the world. The US military budget keeps that around.