I did a little search and it seems as though Barnie’s Coffee was an Exhibitor at the 2005 GLBT Expo – Uniting the Gay, Lesbian, Bisexual and Transgender Community [Go Here]. Would Bob Jones advocate such a group? This is my point! If BJU was consistent they wouldn’t have Barnie’s Coffee at their campus either.
I don’t think Christians should boycott other businesses because they affiliate themselves with things they don’t agree with. If they did they would have to start their own commune (which some have tried) in order to be consistent.