There is definitely an overlap I've noticed. To play armchair psychologist, neurotic personalities can struggle without having the concept of redemption through Jesus to fall back on.
In Christianity, you're essentially considered a bad person by default through original sin, but you can be saved by being a follower in Jesus. Whatever moral transgressions you commit can be eventually forgiven by him, which ultimately gives people a lot of leeway in what they do in their personal lives. If you don't have this psychological defense then the question of whether you're a good person can only rest on your own actions, and the result of this is some people go haywire and desperately try (and fail) to live as moral lives as possible, even if what they're doing is stupid and unnecessary. This is why moral busybodies are actually less likely to be attracted to Christianity now than they were in the past, modern secular progressivism provides far more opportunities to engorge yourself in shame and guilt than the old dogma.