I don't know that DID needs "explaining"; it's a continuum, taking the unconscious to new heights
Just as there are "hysterical" illnesses where people suddenly literally can't walk, talk, see, etc. there are states of mind where the mind comes up with a whole different person/ality.
I don't have any trouble thinking about the one or the other, a person suddenly not able to see with nothing physically wrong isn't that different to me as a person who sees either what isn't there (hallucinations) or comes up with a whole new, "additional" personality with which to see certain sights (DID).
People are endlessly creative, strong and brave and I'm totally into believing that me/my body are doing their best to serve "Me" and make me the "healthiest"/most functional given my circumstances/life. Can I be healthier? Yes. But sometimes it takes a lot of work and help from others and always, the will to do that/go along with what one believes is healthiest and best for one's self.