You don't need to be religious to be mentally ill, you can be both or neither. Same with being gay, same with being trans. Idk if being trans by itself constitutes "mental illness" but I'm not about to jump into that rabbit hole.
But I do know you can't be considered sensible/serious about your religious ideology if you believe an actual "man in the sky" will both judge you for your actions and reward/punish you and also not do so. Men aren't immortal beings with no needs who can easily survive in the clouds/space/whatever, and you're either getting judged and paid accordingly or not, it's not both. Also, the only religious group I ever see actually be persecuted/harassed is Muslims, lol, how did they appropriate that also?!