> I don't respect your gender and sexual identity simply because I don't care, it's none of my business.

And that's why it should filter you. I can respect someones idea of themselves and their gender or sexual identity precisely because I don't care. Working with People as opposed to working with machines requires accepting their individuality in a lot of facets. I personally am disgusted by religion and religious ideology, yet I can work with people even if they are believers, because I respect them as human beings.