I am not trying to suggest that the quality of the education at the Ivy League schools is deficient in any way. In fact, the education I got at my Ivy League school was spectacular, and I'm thankful to have gotten it. When I went to college I really had no idea what I wanted to be. And when I left college I still really had no idea what I wanted to be. But still I ended up with an education that was applicable to really any field that I was potentially interested in. My studies in no way represented those of one who would one day become a math teacher, but when i decided that was what I wanted to do, I was qualified to do it based on my undergraduate coursework.
What I would like to suggest, however, is that the education available at almost every other school is as good, or, depending on your focus, perhaps better, than any Ivy League school. This is especially true at the undergraduate level. And what I've realized after teaching at an inner city high school that would under no circumstances be related to the Ivy League of high schools for seven years is that school is really what you make of it. If you want to study hard and make something of yourself, then you will. The concentration of those kids at Ivy League schools is high. At a state school, perhaps less so. But it's certainly not nonexistent. And we could make a list of colleges that would go on forever where the quality of the education and the student body is on par with any Ivy League school.
I could really go on and on about this.