How can faith and skepticism not be diametrically opposed? It's pretty hard to tiptoe a line between believing in something because you believe in it and believing in something because there is physical evidence. Claiming the two core ideas aren't in direct opposition and can somehow be reconciled just because you want to believe both is intellectually lazy.
From the Thomistic point of view, what's intellectually lazy is to conflate two distinct orders of assent: revelation and reason.
Etienne Gilson:
"To have faith is to assent to something because it is revealed by God. And now, what is it to have science? It is to assent to something which we perceive as true in the light of natural reason. The essential difference between these two distinct orders of assent should be carefully kept in mind by anybody dealing with the relations of Reason and Revelation."
According to scholastic theory, the objects of science and faith are not the same.
Thomas Aquinas:
"it is impossible that one and the same thing should be believed and seen by the same person...it is equally impossible for one and the same thing to be an object of science and of belief for the same person"
As emphasized in the OP, the conflict narrative is of fairly recent vintage, the "scientific" evidence in the OP itself is based on the pseudo-science of psychology, and Baseline Bum's insistence that there is a necessary or logical contradiction of science and faith seems to rest on semantic laziness rather than analytic rigor. Both can be called "belief," but that hardly means the two operate the same way, or aim at the same objects.