If this helps one LGBTGB-whatever person with their religious turmoil, then great. I mean, we habitually present Jesus as being white ...
Jesus drank water from the Samaritan woman at the well, ate with tax-collectors, was associated (if not actually married) to a known prostitute. Ritual impurity to the Jews - just as much as eating prawn cocktail. Cast the first stone, as he may well have said himself.
I would remind people that the Zion Baptist Church are, at least, consistent in their bigotry. If not particularly Christian.
Edited to add - Jesus was an outcast. Despised, tormented and eventually martyred. Who would he be likely to side with? The comfortable in their ignorance, the modern Pharisees, even, or the marginalised and oppressed. I still wouldn't want to go and see the play. Nothing to do with the subject matter but "written and performed by (the) playwright" is rarely an attraction.