How common this misconception! The philosophy of Charles Darwin has now been labeled “science,” and any contradiction has been portrayed as religious interference with objective reasoning. The idea that all organisms now living on earth have one common ancestory—that philosophy cannot be proven, for it is against the nature of philosophies to be open to scientific proof or disproof.
What some people call “science versus religion” is actually a conflict involving two or more philosophical systems, and one of those systems is usually strict Naturalism philosophy. For example, when two persons have polar-opposite concepts of the Bible (in particular, 100% human-document versus God-inspired scripture), many conflicts of opinion should be expected, when there is a discussion regarding concepts taught in the Bible. I recommend avoiding disputations, for they normally produce a negative outcome. I do recommend that everyone try to better understand the foundations of human controversay, for this can help us all to come to more agreement in supporting truths we know in common.
Regarding reports of modern living pterosuars, why summarily dismiss them all? The official discovery of extant pterosaurs does not, in itself, force any person to abandon religious or philosophical beliefs, so personal agency is not really threatened. For those who are open minded to comparing contradictory philosophies, however, it will become apparent that literal interpretations of some verses in Genesis harmonize better with modern pterosaurs than the philosophy of Charles Darwin does.
More: “Science and Clear Thinking“