I've been interested in the New York No Wave scene. I admire their films but their music seems pretentious. They said they wanted to "destroy" music. Well, I like music and see little reason to deconstruct it. One thing that really sets metal apart from the rest of "underground" music is a true appreciation of musical form.
Their reasoning was (I'm guessing) a dissatisfaction with corporate butt rock and candypop, perhaps a disgust for the industry formed around modern music. Taken in that context, I would welcome it's destruction.
If you only have to hear one band out of the No Wave scene, it is Swans. I would even call them one of the first industrial bands, as their early sound was monolithic, drudging, crawling, and seemed like a machine lurching forward while its gears rattle. The vocals range from shouts to tortured crooning. There is much use of repetition, but not in a poppy kind of way. This is more along the lines of Discharge, in that the point is consistently hammered home in each song. The guitars don't really play riffs, they provide more of a dissonant atmospheric noise quality which blends in well with the booming percussion. Some of the only music I would truly say is "angry", in the real sense of the word (not just pseudo rebellion like metalcore or whatever).
I wouldn't bother with their later material, like the shit they did with Jarboe. Their post-reunion album, which was put out a year or two ago, is also worth investigating. "Filth" and "Cop" are my personal favorites from them.