To be sure, there is nothing about quantum indeterminacy at the base of our existence that proves it was the work of God. Or of a design to the universe clearly put there by an intelligent force to accommodate living things. However, if there is a God, consider what a master stroke quantum indeterminacy was. To create an orderly material world that didn't require constant intervention, the Creater had to make things obey defined laws. But if those laws were to run all the way down to the building blocks of matter, they would also have denied free will. They would have made it possible for His creatures (eventually) to figure out that all past events and all future ones could be inferred from a single reading of the state of the physical world at any given time.
Remarkably, what quantum indeterminacy does is to deny us the possibility of that ever happening. We cannot uncritically extrapolate the details of the present backwards to learn the past; and the future is what we make of it. Were this not the case, the future would be what our particles make of us. Instead, we are inextricably locked into the present, with our thoughts, words, and deeds helping to construct the future, a future that remains open to our own choices, to a world of possibilities.
Once He had fixed the physical nature of our universe, once He had ensured that the constants of nature would create a chemistry and physics that allowed for life, God would then have gone about the process of producing the creatures that would share this new world with him. He could have created anything He wanted, of course, by any means He cared to use. But He had already decided that the living world would be physically independent of direct divine intervention, and that life would find its support in the physics and chemistry that He was careful to create.
--Kenneth Miller, Finding Darwin's God, pp. 251-2.