From GiantFreakinRobot, whatever that is:

While most agree that Phobos doesn’t have “long” for this solar system in terms of its lifespan, there is some disagreement around what will eventually happen to the moon. Some think that on its current orbital path, eventually it will crash into Mars with the moon breaking up and the pieces actually hitting the surface. But there is another thought that as it gets closer and closer to Mars it will eventually break up into pieces. And then those pieces will form an interplanetary ring around the planet. Only the pieces of the moon with very strong cohesion will be strong enough to enter Mars’s atmosphere and eventually make impact with the planet.

I think this means the idea behind Stephenson's Seveneves isn't really a big deal. If our moon was going to blow up, our goal would be to blowed it up more faster-ish.
 
Though admittedly I'd be surprised if anyone had a realistic backup plan ready for that blowed-upige in the case of such an Event.

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