The way we are able to talk about even being involves dichotomy. We can only distinguish things if they are different. We have to be able to separate in order to say anything meaningful at all. Thus, discrimination is a vital part of our understanding of anything. We should not be ashamed by this in any way, and yet we are! While there are many incidents of sexism and unfair discrimination between men and women (usually against women), it is the very act of trying to be "inclusive" to minority groups that is causing yet more unfair discrimination. Should a "former" man transexual be allowed to use the ladies' restroom? That might sound petty, but the ladies' restroom is often a place of safety and sanctuary for those feeling a bit vulnerable. Those who believe in same-sex Holy Matrimony are calling anathema to those that do not and seeking legal ways of enforcing that anathema. The root of this is a failure to accept a simple, natural and healthy dichotomy that men are men and women are women and there is no middle ground save a few biological cases of intersex - there aren't as many as people think!
Disunity is not the same as discrimination. Discrimination allows us to tell things apart. Disunity keeps things apart. If we look at the Body of Christ, we can tell all kinds of Christians of different persuasions. These persuasions are based on interpretations of the Christian Faith. One can discriminate between these interpretations such as between Roman Catholic and Old Roman Catholic by looking at history, but then that discrimination can turn into a disunity by one declaring the other invalid.
Some interpretations of Christianity are indeed invalid. If you have to change the Biblical text physically to support your interpretation as the Jehovah's Witnesses have done, then this is not Christianity. It is another religion which has just as much human right to exist as any other, just as much human right to be free from persecution, just as much human right to be respected, just as much human right to thrive and grow, but it is not Christian. If Christianity is indeed true (and I believe so strongly that it is) then that interpretation is indeed finite in its lifespan.
We Anglican Catholics have our interpretation of Christianity and are committed to seeking the Truth. We do not believe in unity at any price, but rather unity where there is real unity. In order to unite there has to be discrimination and discernment. As our statement on Church Unity says:
As criteria for engaging in formal dialogue with other Churches aimed at achieving full communion or ultimately organic unity, we would see their possession of historic continuity in Catholic Faith and Apostolic Order, including doctrine and discipline faithfully reflecting the canons and decrees of the seven Ecumenical Councils, with recognizably common Scriptures, Creeds, Sacraments and Ministry, as the starting point, not the conclusion, of such endeavors. These are the minimum requirements for the recovery of authentic Christian unity, and we have no authority to alter or reduce them. To those who embrace them we will gladly extend the right hand of fellowship.
This statement may upset some, even many, but if we're pursuing the Truth what can we do? Truth naturally divides from Falsehood, so Our Lord comes not to bring us unity but a sword to divide Truth from Falsehood. Unity with God means being cut off from that which is not God. We must allow that disunity for the simple sake of just existing, and having our existence begun, continued and ended in God.
The world contains much Evil - much not-God. It is this that needs to be shown up even if it exists in our own hearts. If we are to exist as units with a degree of freedom that God wants us to possess, then we have to know Evil as much as it makes us ill in doing so. Yet it is the distinction between Good and Evil that is blurred in our own, fallible minds and without God shining light on us and drawing us, we will not be able to discern the difference. Unity with the world is not an option, as there is Evil in the world, not as a whole, but as an infection. Unity with God is the salvation and it comes with division, but only of the right kind. Thank God for His terrible swift sword!