When we rise in the morning. . . at the table we drink coffee which is provided to us by a South American, or tea by a Chinese, or cocoa by a West African; before we leave for our jobs we are already beholden to more than half the world.
People should support equality because of their religion not despite it. These are the values that openness, inclusion, diversity promote. And they're directly opposed to the kind of enforced closet of certain interpretations of religion.