Missed this thread earlier, but keep in mind that, in many cultures, trans-people were highly regarded as mediators, spiritually aware, "bridges", etc.
I think there are a couple of reasons for this deeper understanding
Firstly, the idea that sufferings are karmic lessons. Experience is the best teacher, and in experiencing the kind of dysphoria, isolation, despair and stuff that we do at certain points in our lives, we are much more open to accepting the difficulties and circumstances others go through. We've been there, we've felt what it is like to be hated, feared, ridiculed. We know what it is like to feel totally alone, to be at war with yourself. So we are much less likely to do those things to others.
Another important point is that I think we, perhaps more than anybody else on this planet, are in a unique position to realise that human beings are NOT their bodies, that the real person is something deeper, something transcendant. With that rooted in our subconscious, I think it is easier for us to make that deeper connection, rather than equating people with the bodies they wear.
Finally, I think that our brains are also rather unique. I think there is ultimately more integration there, not just between our male and female parts, but between our left and right brains, our conscious and subconscious, our rational and our primitive minds. That kind of intergration I think generally gives us deeper insight and intuition, which blooms through into every aspect of our lives.
~Simone.
