I think globalisation and multiculturalism go hand in hand. One could argue that globalisation and multiculturalism helps to break down cultural barriers and bring people closer together. I think what it means to be French, English, Spanish etc... is less culturally different now than it once was say 100 or 200 years ago. I would say we have become more homogeneous and our cultures have evolved to become more similar.
With the expansion of the internet now and increasingly globalised world, people are going to come more and more in contact with each other, and I think this will have similar effects in eroding cultural and societal differences. I am not a cultural relativist, and I don't believe all cultures to be equal. For example, certain cultures one sees in East Asia and among Jewish people place great emphasis on educational achievements, more so than other cultures, and this has quantifiable results which we can observe through statistics. I believe, especially in our global world, we will see survival of the fittest among cultures, and those cultures that carry values and practices that help people succeed most in our modern globalised world will survive and prosper.