You are a late-comer to this realization.
As the early church rejected the notion of celebrating Christ’s birth, millions have for decades.......and you only touched on some of the issues. Others have dealt with this thoroughly long before you.
BTW - ancient Jews never celebrated birthdays, pagans did. Only 2 or 3 birthdays mentioned in Bible. Someone died on each one. Pharoah’s baker, Job’s kids, and John the Baptist.
We are instructed clearly rather to celebrate “His death ‘til He comes....”
But as the cross is an offense to the world and the flesh, most Christians do it too rarely........
Herodotus mentions that Persians celebrated their birthdays, as if reporting on an odd custom.
In Puritan Massachusetts Bay Colony in the 17th century, it was against the law to celebrate Christmas because it was considered a Catholic invention. You were expected to work on Christmas Day unless it fell on a Sunday.
Once the Church came out from the catacombs, it became acceptable to REMEMBER the Lord’s birth.