My local wondered the same thing. In fact, we were created in Spring 2000 with diversity as a key value. From day one, we have been looking for creative ways to socialize with all kinds of student groups: GLO's, BGLO's, cultural groups, and service groups.
We are now in the process of trying to affiliate with a national multicultural GLO. I personally think it's sad that there's a NEED for multicultural org's, since my group is representative of what I thought most "W"GLO's should/would be like...
We have our own set of challenges though: I've been to several cultural events and organized race relations discussions. I'm almost diversitied out!

And in spite of the fact that some of our sisters are Caucasian and everyone gets along very well, some members of our group seem to think that white Americans are boring/cultureless/anti-minority, and have lost sight of the fact that EVERYONE is part of diversity. It's like we try so much harder to mingle with minorities...
This is definitely a complex issue. But it seems to me that a lot of individuals LIKE to separate themselves from others by forming exclusive cliques? Even when those cliques are based on something as generic and broad as race. It's hard for people to step outside of their comfort zone, which is unfortunate, since that's where stereotypes begin to break down, and real-world education begins...