The last line from the Kennedy/Spielberg produced Brief History of Time:
Stephen Hawking: If we do discover a complete theory of the universe, it should in time be understandable in broad principle by everyone, not just a few scientists. Then we shall all - philosophers, scientists, and just ordinary people - be able to take part in the discussion of why it is that we and the universe exist. If we find the answer to that, it would be the ultimate triumph of human reason. For then we would know the mind of God.
So... he was a Reasonabilist