I think woo usually involves claims about how some pseudoscience nonsense can impact an average person's life. The multiverse isn't used in this way, from what I've seen.
Oh yeah, there is tons of various "quantum" woo. Deepak Chopra comes to mind as one of the well-known worst offenders. But I think that is separate from the OP, which seemed to mostly be about the multiverse (and actual physicists).
But it’s definitely not very common.