As you I don't see why someone should be proud about anything inherited. It can be a gift (or a curse), but it is certainly not an achievement.

That being said, for me the Jewish tradition is immensely powerful, even though I'm not a believer in God. Sitting together with your family at the Seder table and talking about what it means to be free vs. to be slave is an amazing experience. It would be very hard to re-create that experience without the frame given by our Exodus narratives and the surrounding traditions.

I'm sure other cultures have their own powerful traditions for keeping values alive and transporting them across generations. But as you are already very familiar with Jewish traditions (probably much more than me), why not make use of this treasure?