I think this would be a good outcome. At the very least, it would act as a pressure release valve. It would allow people to move to an area which better matches their social and political outlook, and hence reduce internal tensions. It will then be interesting to see which sub-components (countries?) thrive and which ones wither.
The risk is that many people will fall between the cracks due to governmental paralysis while this process plays out and/or that violence erupts because agreement can't be reached on one or more key aspects of the split.
