This was a weird story about a time traveler who takes his family on a trip back, purportedly, to the deserts of the Middle East where they meet the "three magi" following the star to Bethlehem. This is such a literal interpretation of the Biblical story and it's not even accurate, even if we pretend for a minute that the story was true. This legend appears only in the gospel of Matthew, which Matthew didn't write, and nowhere does it say there were three dudes.
There are three prized treasures mentioned, but that doesn't mean there were three magi each with one treasure. Nor is there any solid indication that they were literally following a bright star in the sky. It merely says that they saw his star in the east (not in the west, note!) and have come to bow before him. They could have been astrologers who looked at a chart saw some sort of a sign and headed out with no star visible in the sky whatsoever. The best guess is that (assuming there were real) they were Zoroastrian priests. Zoroastrianism, coming out of what's now Iran, has had a significant influence on the development of Christianity.
The thing about this story is: how did this family happen to light down in the very place where these dudes were traveling? The desert is not a small place and although there were trade routes, they were vague. There was no highway to follow. This family had no idea where they would be along the route, even assuming that they were following one. They didn't even know which year this took place nor at what time of year, so the improbabilities were rife. Add to that the morphing yacht turning into a camel and the convenient fact that the father has taken very little time to master the common languages of that place and period, it was too much. It would be easier for a camel to go through the eye of a needle than to consider this to be realistic fiction.