There’s no denying that Christmas has become a global, industrial-scale phenomenon, and so the source of dilemma for many Jewish people and other minorities in the West: to what extent to join in or even be accidentally included? However, Christmas is not a Jewish holiday by any stretch.
Many Jewish businesses in the last century and a half have seen Christmas’ growth as an opportunity to promote similarly timed Hanukkah. Certainly nothing is wrong with adding cheer and organic publicity to a holiday and the mitzvot that come with it, but the two holidays are completely unconnected. Indeed, both Hanukkah and Christmas have benefited from each other, to varying degrees, when it comes to the way that Jewish communities have adapted to life in the diaspora.
It is useful to look at the ways that each community’s traditions have rubbed off on the other in order to grasp this misconception.