I have three second or third hand brushes with MIT.
A first cousin I really do not know well graduated from there.
I have a close friend whose brother in law was a astro-physics wunderkind who was a tenured professor there at a very young age and was in the running for a Nobel in physics. I found he had zero personality, and his own sister described him as a complete jerk.
I had a short but pleasant conversation with a another dad when I was visiting schools with my daughter while she was still in HS. He was with his daughter and we were doing the tour thing at Columbia or Williams, I think. A nice friendly guy, completely without pretense, which was very refreshing compared to many parents making those visits. We straggled at the back of the group and talked about family a little. When he described his son, who was accepted at MIT, just shrugged and smiled as if he couldn't really understand it, and said: "He sees math."
Our daughters probably both got perfect or near perfect scores on parts of their ACT and SATs, but not in math, and I'm pretty sure he was as math-challenged as I and was plainly candid about it.
You're lucky to have that gift, dx. But I gotta ask: How can a guy as smart as you be dumb enough to be a gopher hockey fan? And if it's a quarky answer, don't bother.