You have it down correctly as far as I can tell, except for asserting that such an approach is not "useful." The only way it is not useful is if one strains the definition of science to mean only "scientific method" or data and theories without any shaping principles.
Otherwise it's the same approach used by Newton, Galileo, and many others. It is not the only way to approach science, and it is not to be proscribed by law to the exclusion of other types of science that omit theistic considerations. Not in our free land. But it works fairly well.
Science is a good thing. It is even better when we can all go at it in different ways.
The only way it is not useful is if one strains the definition of science to mean only "scientific method" or data and theories without any shaping principles.
You are the one who is straining to try to change the definition of science to fit your theological beliefs.