I still don't understand what you're asking.. But I like your single and double word responses.. It's like talking to my mother in law.Like what?
Are you asking what aspects of their own cultures the United States "melting pot" would require them to drop? I would imagine it would be whichever aspect offends the majority of the other cultures.. I don't believe that it's a set of rules that they follow, so much as a general idea that they have to accept when agreeing to immigrate into that country.
Does that answer your question?