You have been busted lying again.
And you know it.
<quoted text>Matthew Chapter 2 says *NOTHING* of the birth narrative. Matthew Chapter 2 is about the visit from the Magi and the escape into Egypt and subsequent return to Nazareth. The birth narrative in Matthew is very sparse and so doesn't say what you're claiming.
The Luke narrative expands the account so we see why Joseph was traveling to Bethlehem. Mary and Joseph traveled to Bethlehem for the census. This would be like you traveling to Cleveland, Ohio with your wife and her giving birth there, even though your home is in Kentucky.
Your argumentum ad hominem and lack of understanding of ancient writing styles has exposed the weakness of your position.