From the annual report of St. Joe’s parish:
The LGBT community looks forward to participating in the Gay Pride parade under the St. Joseph’s banner. (Source)
So it seems that they have a banner to publicly identify the LGBT parishioners as belonging to the parish as they process down the street. Not exactly an evangelical witness.
By the way, their annual report says nothing of any procession with the Blessed Sacrament on the feast or Corpus Christi. Just sayin’.
The official line from Church authorities regarding St. Joe’s seems to be that the parish does a lot of good too, and therefore we wouldn’t want to lose the entire congregation by taking measures that are too drastic.
It’s true that there’s plenty of good at St. Joe’s. They do a lot for the poor, notably through their soup kitchen, and they also have a more friendly and welcoming atmosphere than most parishes.
But Popes Benedict and Francis did warn us against just being a social justice organization without embracing the fullness of the Gospel. There are also risks to the slow approach because St. Joe’s can corrupt the faith of others in the interim. On the other hand, there are risks to a faster approach because if parishioners get ticked off and leave, you’ve lost your opportunity to influence them and steer them on the right path.