The argument over equality is essentially an argument over what constitutes fairness. Here's an example with sexism:
Sexism defined:
"prejudice or discrimination based on a person's sex or gender"
"unfair treatment of people because of their sex"
"discrimination or devaluation based on a person's sex"
"discrimination based on gender"
Discrimination defined:
"the practice of unfairly treating a person or group of people differently from other people or groups of people"
"unfair treatment of a person, racial group, minority, etc"
The question becomes: Is it fair for everyone to be treated equally even if they aren't equal, or is it fair for people who outperform others to be treated better?
The problem is that someone is always going to get the short end of the stick no matter what you choose as your definition of fair, but that doesn't mean that it's unfair for someone to have it worse off than someone else.
A non-sexism/racism example: Is it fair for someone to steal money from me at threat of violence to give it to someone else?
