I'm ignoring YOUR INTERPRETATION OF THE EVIDENCE!!. I'm ignoring YOUR WAY OF LOOKING AT THE SAME FACTS!!
I think this might be the heart of it. But it isn't that simple.
The differences are not just that there are two different interpretations. It is that there are two different KINDS of interpretations.
The scientific one is (mostly) coherent. It is consistent within itself. It is required to explain (or attempt to explain) all the facts that are available in ONE non-contradictory package.
The creationist kind of interpretation consists of a whole bunch of ad-hoc explanations that are not mutually supportive. For example, we have a flood that is gentle to leave one kind of layer but violent to create others in the same general area and over one year.
We have galloping continents but the oceans don't boil away.
The over all explanations just don't actually explain what is actuall there to explain.
If what they really mean is that the scientific "interpretation" doesn't allow for miracles but theirs does then fine but miracles are not part of science and things that are not science don't belong in science classes. Miracles are not "explanations" of anything.
Another point they seem to be making:
kicking any thought of God or divine intervention out of its processess.
This is not correct. God is not kicked out, there is simply no way that they have suggested that would allow him to be included.
How does one examine "devine intervention"? So far we have perfectly fine non devine processes which can explain what facts we see. If they want the intervention to be examined and included we'd have to be told how and where it would be.
The need to include miraculous devine intervention as a part of their interpretation arises
because they can't make a coherent explanation that works. If that is all they wanted in the first place where is there a thing called "creation science"? Why do they attempt to explain why, for example, dates are wrong
through "scientific" sugggestions. Why not just say, "God fiddled it" but your measurements were done right after that?
So which is it? Did God fiddle it (devine intervention) or not? How do I tell?
Common sense isn't