But they forget that Theology is outside of the realm of Science.
[...]
They are simply two different, separate, and exclusive realms of knowledge and thought.
They are also quite different in the quality of their knowledge.
Science observes the world around us, makes hypotheses, tests these and builds theories - in short, the scientific method. Scientific theories are falsifiable: an observation that goes against the predictions of a theory throws out that theory. Thus, scientific knowledge is built up from concrete evidence.
The "theological method" is more akin to doing mathematics or playing a game of chess.
A mathematical theory posits a set of axioms and derives theorems from them. Mathematical knowledge is certain: it is absolutely certain those theorems are true,
given the axioms are true. Of course, we don't know the latter for sure, and therefore we don't really know if those theorems are true. However, many of those mathematical theories are used as models of the world by scientists, who then can use the mathematical theory to derive further laws that describe the world. The mathematician is also free to change the rules of the game: adopt an extra axiom (e.g., Abelian group instead of group) and see what extra theorems he can derive, or drop an axiom (e.g., the Euclidean parallel postulate) and see what remains - much like the FIDE can change the rules of chess when it wants to.
Theology works much the same. Only, instead of a set of self-chosen axioms, the theologian assumes the centuries-old writings of a bunch of goat herders, or a carpenter or a caravan driver as the infallible truth, and tries to derive "knowledge" from that.
There's a huge difference in the "axioms" though: whereas the mathematician carefully assembles a set of axioms, and goes to great pains to prove this set of axioms is sound, i.e., as no built-in contradictions, the "axioms" of the theologian - those centuries-old writings in a dead language - are inherently contradictory. And as anyone who aced their Logic 101 course can cite:
ex falso sequitur quodlibet. Thus, theological "knowledge" is utterly worthless, as you can derive literally anything you want from the confused, contradictory writings in the Tanakh, the Bible or the Quran.
(if there's a non-Abrahamic religion for which this does not hold, I'm open to hearing that).