PhoenixGrad:
At my campus there were no BGLO groups. However, there were Asian people on campus who joined "white" sororities and fraternities. I don't think there was much of an issue with anyone being accepted, but my campus was quite accepting and open of cultures and colors. I guess it would depend on the campus and what the political climate was like.

I don't know of anyone who was mistreated or accused of "selling" out their race or ethnic group, but that is not to say that it doesn't happen.