Have you ever seen a live nativity? Instead of plastic figures of shepherds and wise men, a live nativity scene has actors in costume, and for an hour or two each evening you can drive by and see them. The shepherds bow and worship, the magi present their gifts, perhaps Mary rocks her baby in her arms, or else Mary and Joseph simply admire him. It’s unlikely, even at a live nativity, that they have an actual newborn present. The “baby Jesus” might be a toddler, or even an infant, but you wouldn’t want to keep a real baby out in the cold for very long. Even a live nativity scene will often use a doll, or even just pretend there is a babe wrapped up in swaddling clothes and lying in the manger.
Contrast that scene with the night Jesus was born.