Quite the opposite. Typically safe space warriors are demanding that people have different rights in public based on their genetics, not the same rights.
E.g. "You're a white man so shut up, I should have a special right to speak over you because of [XYZ]."
Here are some examples: https://www.youtube.com/watch?v=xK4MBzp5YwM
Part of maturing is learning how to stand for one's ideas and beliefs, as well as learning how to deal with (bigoted) opposition to those. Isolating yourself, locking yourself in the echo chamber will make you unprepared for dialogue with those outside of it, or worse, will end with you radicalizing because you'll grow up with your standing never contested.
This is also going the other way. If you'll remove yourself from discourse, you will willfully marginalize yourself. How can local population know that LGBT people are living among them and are their friends/relatives/normal folk, if those people will lock themselves up in their safe spaces?
My favorite example when it comes to LGBT is polish activist turned politician, [Robert Biedroń](https://en.wikipedia.org/wiki/Robert_Biedro%C5%84), who has spent life being vocal and visible activist for LGBT rights - extremely courageous feat in mostly catholic and conservatist Poland. The culmination of his work was gaining enough popular support to become mayor in 100k large city.
If this guy ran in my city, he'll get my vote. Even if I disagree with 90% of what he says because politically he always aligns himself with socialists and I'm moderate, I believe that what he does for making our society less bigoted is worth every support.
Now ask yourself, how many such Biedrońs will not come to be because they'll close themselves in their small worlds in fear of their feelings being hurt by some bigots?
I know you'll argue against that point, but I mention it not for you, but to put what you said into context for other readers.
Is your argument "oh, but racists are also shaping discourse of their societes"?
My post wasn't for you.
Do our college students really need to be kept "safe" from mere disagreement?