Geesh the piano tuners are out already!!!
Face it the single sky is the only way to cope with the expected increases in traffic and provide a decent service to the airlines. With the shortages in ATCOs around the world, I seriously doubt anybodies job will be at risk anyway. As for the UK, would imagine you'll come away pretty well in the whole scheme of things and it's the smaller European centres that would be closed.
Mind you with modern technology they could always set up a centre in Delhi
FT