Illinois has thousands of units of local government. The Park District is a taxing body that is supposed to provide for recreational / cultural things. It is easy and well liked option:
Bright Beginnings
The social factors are mostly that -- yes, some of it is social climbing, but a lot is also related to how one remembers their childhood. If parents were happy with their experience in a religous based school or other kind of private school they tend to seek out same for their kids regardless of the quality of the public schools. The academics of the elementary / middle schools is quite good. A fair number of kids from Lake Forest go to private high schools, including residential schools out of state. These sorts of decisions are not because of dissatisfaction with the public schools...