It's true. That's not to say that there aren't any reasonable or decent people (by human standards) who don't believe in God, but one can trot out all sorts of statistics that would support that believers do behave better in society in general.
Will all due respect, that's crap. That may have been the case 200 years ago, it is not so now.
People behave because they believe in Heaven and Hell, or because they understand that there are certain requirements (we call them civil laws) to maintain a society in which they and their children can live and thrive.
It was the search for the Creator and the wisdom of our ancestors that created a spiritual basis for their survival and that of future generations. Such wisdom is both remarkable and prescient.