To answer your second question, I know that most of the professors here at IU send their kids to both of the two public school systems. In terms of private schools, there actually aren't too many. There are a few Christian academies, and then there's Harmony School (k-12), a sort of "liberal alternative" (meaning they don't give out grades), but that's about it. Diversity-wise, I checked online at Indiana's Department of Education website (if you Google "indiana school statistics" you'll find it right away), and it looks like most elementary schools here in town are about 80% white, and the other 20% is a solid mix of everything else. Hope that helps!