Wow, a quote so old that I forgot typing it!
I don't know if "opposite" is exactly how I'd describe it, but things like quantum behavior, Chaos theory, the Uncertainty Principle, etc, do certainly fly in the face of "orderly".
But if you look at the whole timeline of human existence, we gradually reduced our world from an unknown controlled by capricious gods, to one governed by laws of nature that can be understood and predicted. You don't see many people nowadays performing sacrifices to ensure that spring will arrive.
Over time, its likely that our understanding of principles involved in these "disorderly" scientific theories will to the point where we will understand the underlying order within them, as we have with everything else. Quantum mechanics is the youngest of the fields of physics, afterall. Even if we evenutally decide that at some level these things are just random, that's still orderly.
And what does this have to do with God? Well, absolutely nothing. You can look at it in any one of several equally plausible ways:
1. There is, and never was a god. The universe operates like a machine, always has, always will.
2. There is god, but it plays no active part in the universe today. Like a child spinning a top, God just wound up the toy and let it go.
3. There is a God, and the innate randomness of the physical world that He created leaves enough wiggle room for Him to affect the outcomes of events, while still preserving the natural laws that we depend on.
4. There is a God, and the apparent existence of natural laws are purely on His whim. Since he made them, he can break, bend or unmake them whenever he wants.
And there are other philosophies as well, obviously, just pick one and run with it.