If we don't inherit our excellent traditional culture, are we still qualified to live?

Depends on how you define the meaning of living. If you think that a person can do whatever he wants as long as he is eating, drinking and having fun, it doesn't matter what nationality or culture, it doesn't matter if no one has the same beliefs and inheritance, or it doesn't matter if he becomes another nationality spiritually, leaving only one national name, then it doesn't matter.