I was in a gifted class when I was young, and I quite enjoyed it. It was a welcome addition to all my other classwork. They didn't fully separate us, though. We were still in regular classes 4 days of the week, and we had to still do the work from the day we were missing in addition to the added work that day of Gifted class. It had the effect of keeping us with everyone else while giving us enough extra to do that we weren't as disruptive as before. (And yeah, I was quite disruptive.)
I realize now that it probably could have been a lot better, if I'd gone to a school that specialized in it, but a private school wasn't really an option, and there was no way the school was going to create more of a program for so few students. (I heard later they killed the program entirely.)
I was fortunate enough to experience the other end of intelligence for a while, too. My doctor advised taking allergy medication, and it had the side effect of making me stupid. I was able to tell that there were things I should have been able to do, but I wasn't unable to explain why or what they were exactly. I'd come across problems that I'd solved before and be unable to solve them, but not be able to figure out why exactly.
After halting the medical, my faculties came back and it was astounding. I came to the conclusion that I was simply unable to think well enough to disprove things beyond a certain point. I found out that when I decide something is true, I do it by trying to prove it false. If I was unable to prove it false, I'd accept it as true. When I was on those pills, I was only able to go so far in my testing of the theory, and I'd accept things as true that I would not when I wasn't taking the pills.
It had the side effect of making everything about me. If someone cut me off on the highway, it was because they were against me somehow. The thought that they might just be in a rush or an emergency never came, and I just accepted that they were pissed at me and attacking me.
That was long-winded, but I thought it might add some insight to your IQ-gap observations.