It theoretically should eliminate most of the ignorance though which creates the contempt of other cultures. Not knowing about others creates an in-group vs out-group mentality. With a solid education a person learns that a not one person is representative of a culture, so for instance not every Muslim is a terrorist is a clear one but there are more complex ones as well like you stated. Once you understand and meet these people then you come to fully understand this. This doesn't happen quickly but over time it builds. The problem is the majority of people on issues choose not to learn the real key message they just fall back on emotions because its easier than learning and changing your behavior towards others.