The Evolution of a Holiday: From Executing a Priest to Being Terrified of Sex
Obviously, no one sends a greeting card to honor the martyrdom of some dude who was interrogated (and likely tortured - it was Rome and he was a Christian priest) and killed (probably in some really grotesque and humiliating fashion - again, Rome). I'm not sure it would do to have children in elementary schools cutting out construction paper implements of torture or crayon drawings of a cat being stoned to death.
Christmas is a time for giving, being with family and friends, and hating every other asshole out there in the shops and on the roads also trying to spread joy and share in the Christmas spirit. Similarly, Hanukkah is a time for Jewish people to desperately try to feel relevant during Christmastime.