This got posted on the dead end bread so re-posting here:
A few months ago (it seems like ages) there was talk about who [P] was and I don't think that there ever was a definite answer to this question. There was also reference given to the Godfather (III?).
Godfather III is about the influence of the Vatican in organized crime. At one point in the film, the related image gives the info, Ivana Trump's name is shown in a newspaper although it is not the focus of the shot - the info about God's Banker missing is.
I believe that [P] is the Pope (in the movie's timeline it is John Paul I). All the references that Q has been dropping about the hierarchy of control, [P], Godfather, etc, appear in this movie. Here is the image of that newspaper scene.
-By the way, just finished re-watching it with a new set of eyes in the context of Q drops and the world scene today.