Equality is impossible from the stand point that no two people are alike or have the same exact overt and intangible talents. Equality equal mediocrity. If every team had the same number of wins verses losses we would say they are equally talented, average, or mediocre.
There will always be a "first class" and a "coach" as well as 5 Star and 2 Star Hotels. Not everyone is going to become the CEO of a major corporation or be the next Michael Jordan. What people really want is an "equal opportunity" at becoming someone "special". They simply want people to be allowed to fairly try out for the team.
However since most final decisions are based on likability or gut instincts the only way to ever have equality is to have machines make selections from unbiased testing strictly based on scores.
Human beings are unable for the most part to ignore a person's appearance (height, weight, gender, race, national origin, and sexual orientation.) If this were not the case there would never have been a need to institute laws against discrimination.
Equality for the most part is having the equal opportunity of being judged based upon one's ability and nothing else.