There are two possible answers to this question:
The first one would be allusion. The passage uses allusion because it references the World War. Allusion occurs when an author references an object of an unrelated context in an indirect way.
The second option would be hyperbole. Hyperbole happens when the author makes an exaggerated claim that is not meant to be taken literally. In this case, by saying that jazz has caused more destruction that the World War, the author is clearly exaggerating for dramatic effect.