Scripture does not say that Quirinius was the governor of Syria at that time. What you are looking at in Luke 2:2 is an interjection in the scripture from the translator. Many times they will add things and really would be better off leaving it alone. Sometimes they are kind enough to put it into parenthesis. Luke 1:1 that speaks of Augustus however is original text. Seeing as Augustus ruled from 63BC to 14AD this fits the timeline.
By the way, it's not meant to be a science book.