Idk about nuking it, but one of my favorite books talks about the moon being pushed closer to earth by a large meteor, and it caused a ton of tsunamis that enveloped all of the coast line cities, It caused basically all the valcanoes on earth to erupt, hellish weather patterns, and a bunch of earth quakes.
our moon is really important and we should not nuke it. Even if nothing in that book was accurate, it would still be catastrophic.