Wow I feel really bad. You have skill and aptitude above many friends I know that went to Ivys. I can’t speak on behalf of them or the admissions of course, but it seems like admissions is getting more and more arbitrary by the year. I think sometimes if a student shows a lot of promise, but a competitive school thinks that they are more likely to go somewhere else, they will not admit.
In my own thread I laid out my personal failings with getting rejected from everywhere but my safety schools. Unless there is some glaring omission in your post I do not see why every single one of those schools would reject you.