Yes. I think it's totally fine to drag an institution that has oppressed genders, sexualities, races and much more for thousands upon thousands of years and refuses to apologise.
Society has only advanced so much in these areas because people have stood up and dragged religion and called it wrong. While religion doesn't have as much influence as it used to (like in times before most western societies became secular), it still sets the example for a lot of people in today's society and so yes, it should continue to be dragged.