My brother is married to a non-JW. He has faded but still holds a lot near and dear. She goes to her parents for X-mas and birthdays. They have a child who is being raised without Christmas in their home but my sis-in-law takes her to her grandparents who celebrate for them. I think it is a house divided. One way or another someone gets hurt.
The birthday thing for me is weird. Since I have never celebrated my birthday as a child it doesn't really faze me now when someone forgets. My husband NEVER forgets and loves birthdays. However...my childs birthday to me is one of the greatest days of my life and I defy anyone tell me to not celebrate his birth.
Run away and don't look back. Children are hard enough to raise in a united household. But that is just my humble opinion.