Wow- that's really frustrating. And in a weird way, I feel bad for your neighbors- seems like they're having a lot of problems in their relationship.
I would say moving is a good idea, for one thing it would be nice to move somewhere with a more stable management team. However, every single apartment I ever lived in had some sort of horrible major drawback, so who knows.
It is interesting that they haven't done anything to retaliate yet- were these incidents over a period of time? It could be that they're not bad people, they're just in a horribly disintergrating relationship and it's causing them to act like jerks.
Or they could just be jerks. Either way, I hope you figure something out soon to save your sanity.