Well, 'drive through the christmas story' might be a creative way of saying getting immersed in the Christmas story quickly. Just as when you drive through a place, you cover ground fast. So perhaps it's about quickly going through the key elements of the Christmas story, like Jesus' birth, the significance of the star, and how it changed the world. It could also be a theme for a Christmas event where people can experience the story in a dynamic and engaging way.
Maybe it refers to a physical drive - like a tour where you visit places related to the Christmas story. There could be a route where you pass by churches or historical sites that are associated with the events of the first Christmas. For instance, driving to a place that is said to be similar to the location of the nativity scene and learning about the story as you go.
It could mean experiencing the Christmas story in a sort of journey - like driving through the events that make up the Christmas story. For example, starting from the journey of Mary and Joseph to Bethlehem, then the birth of Jesus in the manger, and all the events that follow like the visit of the shepherds and the Magi. It might be a way of looking at the story as a sequence of events that one can metaphorically 'drive through' in terms of understanding.