There's a story told of respected astronomers at the Vatican Observatory who presented the church with evidence of another planet having the characteristics of our own, possibly to the extent of supporting sentient life. Two schools of thought emerged: the first advised the immediate dispatch of missionaries to bring the saving Gospel of Jesus Christ to those aliens, presumed to be very much like us. The second school advised against an expedition. Jesus came to us at the right time and place, they argued, and he will go to them when the time is appropriate, too. The astronomers allowed the debate to rage for a while before advising that the light from the new planet had taken so long to reach us that our cousin planet had actually ceased to exist several millions of years ago.
If God is immutable, however, can nothing ever change? We know that to be patently untrue. Theologians have a lot to say on these subjects and I suppose the most straightforward answer is that God and creation are always "one" no matter what part of creation we are looking at, or the era we are considering.