I beleive Baylor is a denominatial school and in many cases, they do not embrace Greek Organizations while others do. A prime example is William-Jewell in KC metro area.
They have had GLOs for many years and Fraternities have had houses and they are in the process of working on a Sorority housing area. So, they are one working with GLOs. Of course while it is much smaller than Baylor, they have a huge % of GLO members of total school population.
As to events sponsored by GLOs, it is a common thing. Many are involved in campus politics, sports, higher than average GPA, and of course, where would Homecoming parades be with out the GLO floats?
Greeks over the years have stepped all over them selves and have left a bad taste on many campuses. But it seems that the GLOs are making a resurgence and are once again growing with the advent of outlawing hazing which caused most of the problems along with to many loud parties with drinking involved.
Many times GLOs have to prove themselves worthy to be accepted by strict schools.
Time will tell!