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I can offer a more informed opinion, as I am a qualified psychologist.
In psychology, there are various schools of thought, and not all of them deny the existence of God. Some schools indirectly support the existence of the supernatural: Gestalt psychology (gestalts), Jungian psychoanalysis (archetypes). In general, in psychology, the psyche is the soul (agree, this is clearly a religious term). And even with modern psychology, people who believe in God are not considered mentally ill. Also, when mentioning "mental hospitals," I think some people confuse or equate psychology and psychiatry, but these are completely different sciences: psychology is a social and humanitarian science, while psychiatry is pure medicine, a combination of neurology, physiology, and much more. And as a rule, people are now subjected to compulsory treatment for drug addiction, unlawful acts committed in a state of affect or frustration, and other conditions in which a person may do something they would not do in a normal state (I am referring to murderers and maniacs). Sometimes people suffer for their faith, but these are extreme cases, so-called fanaticism, and only if this fanaticism can harm other people or themselves, mainly physically.