PBG's advice is to glue and clamp the body. As I've filled it, I think I have a problem - I can't get the filler out. Given where the split is, it doesn't really seem feasible to clamp it anyway.

They did offer to replace the body. If I do that, do I also need to replace the neck, given that I've already drilled the holes for it? If not, would I just need to dowel the neck holes and re-drill them? I wouldn't have thought that would be as strong.