This line is scary. It specifically disallows the action of God in our examinations of history, etc.
Here we go again. A person who believes in God, yet assumes that nature is necessarily godless. Why is it you insist that excluding the supernatural is equivalent to excluding God? Why can the natural order not be the arena of God's activity?
Why do you insist on a divorce between God and God's creation, such that God cannot act in nature except by supernatural means? What excludes God from nature?
This is the kind of line which causes some YECs to talk about godless or atheistic science/evolution.
It wouldn't if YECs did not assume, just as atheist materialists do, that "nature/natural" = "God is absent/not active"
There are not two realities, one physical and one spiritual. God can indeed act in His physical creation. To completely exclude Him is the same as denying His existence.
First, excluding the supernatural does not deny God's existence, presence or activity in nature. YECs assume it is, because they do not recognize that God can and does act in creation via natural processes. This is a flaw in YEC thinking, not in science.
Second, excluding the supernatural from scientific study does not exclude the supernatural from nature. It just means that when and if God does touch his creation supernaturally, the event is not subject to a scientific explanation.
If we accept that He exists, then we must make provision in our thinking for His acting.
And we do, through recognition that God is not to be found only in the gaps of scientific explanation, but in what we know about nature too. The question in any situation is not "Is God active?" God is always active. The question is "What sort of means is God using?" If we can study those means scientifically, it indicates God is using natural means. When God uses supernatural means, there will be no scientific explanation. That is why science must exclude the super-natural, and why such exclusion does not constitute an exclusion of God.
If He exists, then we should be aware and curious about anything He has said, and always look for the complete set of ramifications.
We should also be aware and curious about anything He has done, and always look for the complete set of ramifications.