For example, a few months ago there was some ideas flying past in the Swedish media about abolishing parents' right to have their children exempted from sexual, physical and religious education based on religious/cultural objections. I.e. it can perhaps be said within the Swedish context that there is no cultural right to ignorance. You may keep your culture, but in no way do you have a right to remain ignorant (or enforce ignorance on offspring) on culturally sensitive topics. I don't know what happened with this proposal, if it was brought up in the parliament, voted on, etc.
When this is the case, the truth is relative to where your own position is on the matter. The only way to solve this is by decree: my values are the right ones, because I am the host and the majority. This will lead to revolt, unless such issues are tackled and solved very very early by an immigration policy based on assimilation - at least concerning this kind of conflictual issues. Playing the righteousness card (as in, we're more advanced than you, we know women position in society is a human rights issue, not a cultural one) is probably the worst solution. Free at last! Free at last! Thank God Almighty, we are free at last! (Martin Luther King)