You can't have a multicultural civilization without some framework in which one makes judgements. A member's values (shown by actions) can't be incompatible with a multicultural society. Such a society would be too tolerant and wouldn't last.
Why wouldn't it last?
Why can't some members be incompatible with others?
Why must there be a framework to make judgements on others?
The United States is a good example (in a lot of ways) of successful multiculturalism (it's a bad example in some ways as well). But no official language, no restrictions on belief, the only consistant thing is a 'rule of law', is that what you mean by a framework for judging?