What was the problem?

I'm a sopre in high school and last month, I had to take my finals for the semester and for my English cl part of it was an essay. The prompt was basically should sports teams have an "everyone plays" policy regardless of skill. I argued against it. Last week, I got my essay back and my teacher had underlined a sentence that said "Equality is a dangerous thing to give to people". She said it was a "scary thought" but I don't really get why. My argument was that making it so that everyone could play separates the elite from the mediocre making the players think they are equal when in reality they aren't. My dad said I wasn't wrong but that my statement was "politically incorrect". Call me cynical, but I see life as a triangle. Some are on top, some are on bottom, and everyone else is in the middle. I mean, everyone can't be the next Obama. Someones got to be the next janitor or cashier. Take the iPhones for example. When they first came out and people started buying them, was it a cool thing because it was the most brilliant thing in thing in the whole world and made life a million times better? No. It was mainly because some people could afford them and others could not. The thing that makes something a trend's center is that not everyone could get it or be it. If everyone in America had $500 million dollars, $500 million dollars wouldn't be considered rich anymore since things like that are supposed to separate the haves from the have nots which would be defeating the purpose. I mean no matter what happens, there will always be that tip on the triangle that a certain amount of people will not be able to reach. Anyway, why is it my teacher thought that "equality is a dangerous thing to give to people" a "scary thought?"