if I did, I would have to be obliged and follow their cultures

This doesn’t seem true to be. There is no culture police who will come and enforce the way you live your life to follow the norms of your ethnic label(s).

I don’t have a culture

This is impossible. Everyone has a culture. You may not follow all the cultural norms or traditions of where you are from, but it is guaranteed that who you are was impacted by the culture you were raised in. There is no such thing as neutral, otherwise you are saying your personal culture would fit in everywhere in the world (Mexico, USA, Italy, Russia, Japan, Philippines, etc).