Whatever the origins of Christmas are, it is obvious to everyone that Christmas is a Christian holiday.
I am a Christian. This is our holiday. The way Christians celebrate the birth of Jesus. If people don't like it, they don't have to celebrate our holiday. Christmas does not belong to non-believers.
It would make no more sense for me start celebrating Hannakah (sorry if that's spelled wrong) and put up a fuss about manora's. Why don't I celebrate Kwanza and strip all the heritage and culture from the holiday?