Here are my thoughts:
The first step is to put aside subjective biases, put aside ourselves completely, which is necessary to reading and listening effectively - curiously and objectively. You may fear or hate those things, but you brought them to the conversation; they aren't what I wrote about. (For example, I never said I attended either institution, or that the students there are somehow superior.)
Another step: There are more talented people, with better resources, than you - and than me, and you might be one of them. Good for you, if that's so; I hope you go much further than I do. That fact will always be true for everyone (ignoring a statistically meaningless theoretical exception). If we can't handle that fact, we can't talk about reality. Must we censor the idea that elite university education is exceptional, and their student bodies are exceptional? It's a cheap way out of the conversation.
Step three is that it doesn't bother me at all that you might go further than me, or the students at these institutions might go further. What is to fear? I'm not inferior to anyone on the planet. If we rely on external rewards, especially elite ones, as necessary to a successful life, then 99.99% will 'fail' - which seems to be where you reached your own conclusions. Most importantly, all the external rewards in the universe won't fill the holes inside; people seek them as a substitute, including elite status, but it never works. The only answer is to be happy with yourself internally, to provide love and recognition internally, regardless of the external rewards. The external doesn't fill those holes, and will come and go; you are the only person who will always be there; nobody can take that away.