I'm just suggesting that when genetic mutations occur there may have been divine influence or there might not have been.
But why invoke an intervention into the process of evolution when it is totally unnecessary? We know mutations occur spontaneously. There is no need to invoke God. It is not just Science that values parsimony. Common sense, logic and the judicial process does as well. Where does the evidence lead? If you are going to invoke an extraordinary explanation (and who could argue that God did it isn't extraordinary?) then you need some extraordinary evidence. The fact that a mutation occured is not extraordinary. Hence no need for God.
IMO there is no need for a virgin birth or a bodily resurrection either if that is what you mean by God intervening 2000 years ago. Why have a virgin give birth when there is a much more tried and true method of doing that and why bring the actual body of Jesus back to life when his spirit is what is needed to change the lives of people? We don't need the body of Jesus to be alive anymore than we need the body of Thomas Jefforson to be alive to understand the spirit of his words, "We hold these Truths to be self-evident, that all Men are created equal, that they are endowed, by their Creator, with certain unalienable Rights, that among these are Life, Liberty, and the Pursuit of Happiness."
Another way of looking at this - if one accepts the fact that Jesus was fully human he couldn't have been born of a virgin or had a bodily resurrection after he died because that isn't the way it works when one is human. However we can follow Jesus and do as he did because he WAS fully human. That is the real good news. If he had not been fully human we would have no hope of being like him.