Moreland and Craig on the Two Minds View of the Incarnation

Some Christian philosophers, such as Thomas Morris, have postulated an independent conscious life for the incarnate Logos in addition to the conscious life of Jesus of Nazareth, what Morris calls a “two minds” view of the Incarnation. He provides a number of intriguing analogies in which asymmetrical accessing relations exist between a subsystem and an encompassing system, such that the overarching system can access information acquired through the subsystem but not vice versa. He gives a psychological analogy of dreams in which the sleeper is himself a person in the dream, and yet the sleeper has an awareness that everything that he is experiencing as reality is in fact merely a dream.
Morris proposes that the conscious mind of Jesus of Nazareth be conceived as a subsystem of a wider mind which is the mind of the Logos. Such an understanding of the consciousness of the Logos stands in the tradition of Reformed theologians like Zwingli, who held that the Logos continued to operate outside the body of Jesus of Nazareth. The main difficulty of this view is that it threatens to lapse into Nestorianism, since it is very difficult to see why two self-conscious minds would not constitute two persons.
If the model here proposed makes sense, then it serves to show that the classic doctrine of the Incarnation of Christ is coherent and plausible. It also serves religiously to elicit praise to God for his self-emptying act of humiliation in taking on our human condition with all its struggles and limitations for our sakes and for our salvation.....
-J.P. Moreland and William Lane Craig in chapter 30 of their book The Philosophical Foundations for a Christian Worldview