This is the future I see happening. And, I don't think it will be a total apocalypse. The web will endure.
It's kind of like any extinction scenario though: Yeah, there will still be a big ball of rock after the nuclear apocalypse, there will still be life on the rock, and probably even still humans, but that only makes it slightly less tragic.
I have to focus on the silver linings or things are too sad. :(