The quest of equality as "our" highest principle eventually leads to radical egalitarianism, which is, in effect, that nothing and no one is differentiated from anything or anyone else. This is a major violation of the reality that there IS a natural order, that things have their own differentiated nature and to re-invent or rearrange this order, in the end, is UNsane.
It is, in the case of protected groups, not only a violation of the freedom of worship, but, as IDP writes, the right to associate as one chooses.
If this principle is allowed to continue, "normal" will become the discriminated-against class in every endeavor of life.