I wouldn't be offended if someone said Happy Hanukkah to me. I'm not Jewish, but not everything's about me and my feelings. An expression of goodwill from someone is about their feelings.
I would take it as it was meant; as someone who's Jewish who's expressing to me warm wishes in their way of doing it. That's not being divisive or exclusionary; I shouldn't have to take 5 minutes to express happy holidays in all the major ways, like a voter guide printed in umpteen million languages.
Nor should we need to templatize it. I don't want to Mad Lib all my user interactions with people, I want them to re-learn how to put themselves in another's shoes for just a second, and reject the hair-trigger offense reaction the Left has trained us to have.
So please, fill in what applies to you (and hopefully, in the spirit of the season it's something positive and not Happy There's No God Day or something like that!).