Well, we would have it all properly documented and posted in youtube, minute by minute.
The doctor would certify virgin and pregnant.
Joseph would have a fan club.
The angels would be sending messages in whatsapp, to save carbon footprint regarding the trip from and back to heaven.
We would know of the star from the East ages before, and NASA would know exactly when the birth is happening. The 3 Wise Men would catch a plane, last minute. Presents would have to be A PHONE, a playstation and a voucher of some sort.
Sheppards would be replaced by influencers and, hopefully, some good journalists. Those would forget to bring presents to the baby.
The donkey and ox would be plushies.
Would I believe an extraordinary story like his birth today? I think likely no. But, if a man walks this Earth today or tomorrow with his message, with the sermon on the mount and his kindness, that 100% I would believe in.