He has one guitar with a MQ set and one with a Nailbomb bridge and MQ neck. He also has one with two P90's wired together to form a humbucker but I'm not sure if they are BKPs. I messaged tim a while ago. Infact I'll look that up and edit this post.
EDIT: Its not their anymore. I remember tim said he installed some MQ's, Nailbombs, and a Miracle Man, but I have seen and heard all of Matts guitars and I did not hear a MM. The new albums guitar tone is shite watered down so I could not tell if he used one in the studio.