I would say that 'censor' isn't exactly the most correct term.
But how would you feel if your school, radio stations, every public building, etc, started Hanukkah celebrations everywhere, and not acknowledging Christmas? Maybe you wouldn't care, but a lot of Christians would. It feels the exact same way for any other religion to see Christmas things everywhere. This is why many places have started doing just "Happy holidays" instead of "Merry Christmas"