Definitely not a good idea. Christmas is largely a secular holiday in the mind of the general public now so its perfectly fine to celebrate it because it does not represent the religion of Christianity to nearly everybody, but Hanukkah is a very different story. It is very much a religious holiday, and its more similar to the christian holiday Epiphany in terms of religious exclusiveness. So in order to stay neutral, religious holidays and political holidays need to be avoided. And really, things like July 4th should not be celebrated on era or classic. That is the exact same concept.