But God can never be “demonstrated” by any activity or system which begins by eliminating him.
My two cents
I’ve heard some polite science advocates say that science is silent on the existence of the supernatural, but then the rude science advocates barge in and assert that since God can’t be shoehorned into the scientific method, he therefore doesn’t exist. The rude science advocates show a lower level of wisdom and a higher level of arrogance than the polite ones do.
Rushdoony, R.J. (1967). The Mythology of Science. [2001 edition]. Vallecito: Ross House Books. p. 150.