My wife had an opportunity to attend a non-Ivy League but Ivy League "style" school out west but passed it up due to a lot of life circumstances as she was adjusting to being in the US. She always feels a little "lesser" for not doing it.
Not long after we started dating we were part of a project that involved a lot of Harvard kids in our little city. Since that project, I like to remind my wife how those supposedly brilliant Harvard kids were and remind her that they could literally get nothing done when put outside their networks on their own.
The Ivy League prestige may be there for some, but I've only worked with a handful of Ivy League folks that I thought were decent. Coincidentally they've all also come from one school.