I don't believe you ever can sever yourself entirely from your own culture.  It's sort of like the ring in the bathtub, there is always some left.  

Cultures are not 'equal or unequal' IMO.  Just different.  That doesn't mean all cultures are acceptable to me, however.

My cultural background does not permit me to accept the tenets of some other cultures, no matter how long they have been around or how many people accept them.   Female castration/mutilation, inequality of females in voting, driving, etc., and most of the rest of Shar'ia law which ensure the ascendency of the Mullahs and males will never be accepted by me, for example.

Polygamy, polyandry, group marriage, bi-sexuality, etc, I see no problem if I am not forced to participate or required to pay for their choices.  

Same with partial or complete nudity and other things which vary by culture.  Do as you please  but leave me alone in my choices and don't expect me to support you.