Half Jewish and struggling with identity

Both of my parents have passed away, but mom was Jewish and dad was Catholic. I was raised Jewish, although not religious whatsoever and never stepped foot inside a synagogue except for the occasional bar mitzvah. I don’t feel like I’m Jewish enough to be Jewish, but I don’t feel NOT Jewish. Does that make sense at all? I do identify with cultural Jewishness because of my family.

I don’t know what to do when Christmas comes around. Everyone is celebrating. Do I not celebrate because I’m Jewish? I don’t practice the Jewish religion, so should I be celebrating Jewish holidays?

So confused!