You first need a scientific definition to understand the "what" of God and his/its relation to man.
With this understanding their "may" be a way to tie mathematical equations better together.
Shouldn't you figure this out first before insisting that God be included in science?
For instance, IF the math we have now is true, yet missing a key component ( such as a ball's path being a three second launch off the ground starting at T=0, yet on the return path you accrue a negative number because you didn't have the ground in the return eqation) Then you may build years of study and math explaining dynamics by that math and waste years of potential growth because of an overlooked variable.
But why would this missing variable be God? A good example is Newton's Laws of Gravity. As it turned out they were wrong. They were missing a variable. Newton's Laws of Gravity could not explain the observed precession in Mercury's orbit. That missing variable was not God. The missing variable was the warping of spacetime, a completely natural process that does not require any reference to any deity.
If God IS and IS in a physical and real sense, then its a definite variable That should not be overlooked.
If that were so then you should be able to show how including God improves science. You haven't been able to do that.