I think it really depends on the moral lens the faith leaders have. You have your moral lens and then you have your religious lens, and somehow ideas of how people should live their lives come through the other end.
For example, in our community, in York region, we have a very strong relationship with a lot of our faith leaders there, and we've been to LGBTQ-themed events at local churches. Those leaders see a responsibility to spread the message of love and to make sure that community members don't feel ostracized or don't see the church as a place where they're not welcome.