I'd argue that the broken society narrative is a subjective opinion and not objectively quantfiable. One man's broken society is another man's utopia, it's all dependent on your personal beliefs.
Steven Pinker's latest book, "Enlightenment Now", has a pretty good treatment on suicide rates and other "broken-ness" indicators. The data-driven conclusion is that on almost every metric civilization is less broken than before, if it could indeed be called broken at all.