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To whom? If to the world, it is a manifestation of respect, solidarity with it. If to Christ - on the contrary, it is closer to blasphemy. Perhaps the Jews will also be displeased.
We actually do have Chrismukkah in the Oriental tradition, or as I tell my Jewish friends, the Syrian Christian version of Hanukkah. It starts with Koodosh Etho (the feast of the Dedication of the Church), on the first Sunday after October. It ends the next Sunday with Hoodosh Etho (the feast of the Sanctification of the Church). So that's eight days in total for Hanukkah and since we take after Christ (John 10:22) in observing it, Chrismukkah is legitimate, no?