What Hawking appears to have done is to confuse law with agency. His call on us to choose between God and physics is a bit like someone demanding that we choose between aeronautical engineer Sir Frank Whittle and the laws of physics to explain the jet engine.
Incidentally, I was debating the existence of God (for some unknown reason it’s something I usually avoid online!) and someone recommended Hawking’s book as having all the answers. Well, since then I’ve heard a lot about his book from various sources, and one one (usual suspect) seemed to think it any good at all. Most in fact think it’s a pretty poor effort from someone who was once a great thinker.