How Does Kenneth Miller, evolutionary biologist and devout Catholic, explain the random nature of evolution?

Random mutations and natural selection are the core components of evolution. You know, in every species, there are differences between each member. Some members might be born with sharper claws, some members might have thicker fur and some members might have lighter colored fur etc, the potential variables and random mutations are endless. If their environment stays constant, little change will take place within the species. But if their environment changes, then natural selection will take place and those with characteristics that enable them to be better at surviving and procreating than other members, change in the entire species will occur. These are all completely random processes with no room for a creator god in any of it. So how can you manage your religious myths in with science; how can you manage fantasy into reality, the fantasy of a creator god in with the reality of a godless universe of completely random, unguided forces of nature?