It is very true in my experience. It is also very not true in my experience.
FWIW I’m an atheist. Curious what you mean by issues-riddled mind. What issues? What’s the unhealthy place? There is no one person I’d accuse of lacking morality through godlessness, but I do see a trend. Most particularly in the people and communities who would have previously chosen godliness and replaced it with nothing, not those who previously would have chosen godlessness.