Does Christ have Two Minds?

I hold to the traditional Christological position known as Dyophysitism, the doctrine that Christ has two natures.  This was expressed in the Chalcedonian Definition and reaffirmed in the Third Council of Constantinople.  One rather recent development of this doctrine is the idea that Christ, while being just one person, possessed two minds - and while the traditional position doesn’t really (so far as I know) speak about Christ having two minds, but rather natures - I think that it’s still a natural development of the orthodox position.  I particularly like the development of the two-mind theory that Thomas Morris has provided.

I think that the two minds theory is required for the qua-type moves the orthodox must make in order to account for Jesus's duel omniscience and limited knowledge.