I think the underlying question under the original question was whether lawgonebusiness should mention his (or her) active involvement in LGBT org.
Also, I think we all know that NO MBA school is going to look at it negatively. The issue is the degree of positive-ness. Thus, regardless, YES, do mention your activity in app.
Now, people are somewhat arguing about whether involvement in some org deserves more recognition than others. The most cynical answer would be.... look, it doesn't matter what we think. What adcom (as in actual individual members, not as in a school overall) thinks matter
But to me, no activity is better than another. Someone might simply define softball coaching as a contribution to the community. But I can easily say that coaching softball to kids makes them more active and direct them to positive path. See how two sounds completely different?
Outright saying that my "volunteer" activity should be perceived with more weight b/c ___ sounds like the person is missing the definition of volunteer activity, and also that kinda reminds me of my high school days when I did community service just to satisfy IB requirement and to put it on my college app. If you are really involved and have done so much for org, I believe it will be naturally revealed in your story -- that will clearly show who you are to adcom, and if so, what's the worry?