I don't know how I'd feel about PJ doing a Doctor Who story. Huge fan of Tolkien's Middle-earth books, from The Lord of the Rings to The Silmarillion to The Adventures of Tom Bombadil, but the Tolkien snob in me can't watch PJ's Middle-earth without a scathing disapproval of some of the changes he made. I've never been able to get into his other stuff, either. That said, Doctor Who is a completely different subject, and he'd only be directing, which is less influential than it is for a big Hollywood film.
I'll be worried if he has the Doctor crying and falling over a lot and trying to kill his companion, like he did with Frodo.