Equality denies the individual. By pushing for equality we are denying the truth that no two people are actually the same. Some people are superior than others at certain things due to genetics, upbringing, nation, culture, circumstances and free will. To push for equality is the deny the individual the truth of who they are as a person. It denies accountability to one's actions and demeans an individual's free will to suggest any superiority is due to factors outside of his control instead of his own choices.
One of the biggest issues with pushing for equality is that is denies the truth and thus sets peoples expectations entirely wrong. It creates a blind spot in people's perception of reality. One thousand years ago a person may have prayed to God to save his sick son and gave his sick son herbs. The person may have mistakenly believed it was God who saved his son rather than the herbs. The next time his son got sick, he only prayed and his son died because he did not give his son the herbs. This is the blind spot that strict adherence to religion caused humanity. We are creating this sort of blind spot again with the push for equality. When say a white man beats a black woman at something, instead of recognizing this man's superior ability due to all the factors, people instead blame "whiteness" and "the patriarchy" as oppressive factors thus denying one's perspective to see the truth. These "oppressive" factors have become a new religion and are creating new blind spots in peoples perception which is ushering in a new "Dark Age" in regards to assessing the actual true factors in superiority. The more we pursue this as a species the more we push for mediocrity and usher in this new "Dark Age".
I can't think of a single thing in society that is as grievous as this push for equality.
Equal rights under the law is real equality. Preference by law is illegal.