I meant that Happy Hanukkah tends to be a common phrase in USA around the "holiday season".
Yes I know these differently sourced cultural traditions follow at slightly different times for major different reasons but often "happy holidays" is "happy Hanukkah" as a way to effectively say "enjoy the time with your family / loved ones" around the same time of year. It's a common phrase I hear in US eastcoast.
Out here in California, tech community, strong Indian presence, the Diwali celebration of the myth of light over darkness is more obviously celebrated than the Jewish holiday, much more apparent music / food / family.
Historically the most factual of these is the Jewish one as its based in historic facts of a known event, the sacking of the Jewish temple in 2nd century. However, the government having a common national holiday, where more people have a little extra freedom to travel and be together, is a social good. Easter is similar benefit in UK.
I reckon the Australians have it perfect, they have the state-mandated national holiday in summer time when more options exist to be off work, than the northern hemisphere where Xmas tradition is effective a hijacking of pagan winter solstice traditions, as the Romans affected Europe's traditions significant around the 3rd-4th centuries. Odd how history bleeds into the present.
By the way, in UK, they are having a very good Bank Holiday weekend.