... your criticism of gift giving is misplaced, God gave the world his son and his son gave us the Atonement. Part of Christmas is the 'spirit of giving'.
Either way, you're Anglican, do you think Catholics get annoyed with you for changing their religion? It's all the same.
Your festive season is what you make it. We have a nativity, birth of Christ story books for bed time and we often speak of what Christs Mass is to us as Christians. We don't do Santa either.