Gregory S. Paul has a wonderful website, The Science of Religion, which may well be worth putting in your bookmarks. Do check it out. It's a very thorough resource if you're looking for information about how more religious societies compare to less religious ones on what are usually thought of as indicators of social well-being. (Yes, "well-being" is a vague concept, and no single indicator is going to be perfect or even uncontroversial. All the same, the relatively religious USA does poorly against a raft of indicators that even evangelical Christians are likely to regard as highly relevant to social health. The relatively irreligious countries of Western Europe do far better.)
As you dig deeper into the site, there is plentiful information as well as clearly argued opinion pieces.
It's often been claimed that religion is necessary for social stability and harmony, but the data don't bear that out at all. It may not be possible to come to a clear conclusion, but, putting it mildly, there is no indication at all that a decline in traditional religious belief causes social dysfunction. There are always extraneous variables that can't be controlled, so some epistemic modesty is called for here ... but, superficially, the data seem to point in precisely the opposite direction.
This is not a surprise - I think the overall trend is pretty familiar by now - but it's fascinating to see a site devoted to the question, with many links and citations that you can follow up. At the level of whole societies, it's pretty clearly time to leave God behind.