Every diocese could have one, even if not a full-time job. New Liturgical Movement strikes an encouraging note here.
Some prelates fear diversity in this arena, however, have bigger fish to fry, etc.
Same for programs geared explicitly to help LGBT people to do the right thing. Courage comes to mind.
Prelates are often not so sure about this operation either. Low profiles are preferred. But this Courage site has a raft of video presentations, including a July 30 sermon by Archbishop Cupich of Chicago at the opening of the 2015 Courage Conference at Mundelein Seminary, and a moving one at that. His predecessor Cardinal George also welcomed the Courage group to the seminary on one or more occasions.
Blithe Spirit 