The top private schools, Punahoe, Iolani, maybe Midpac have far more applicants than openings regardless of ability to pay.  Kam is in a class by itself.   I believe they deliver a superior education overall compadred to public schools but again so much depends upon the individual student.  As I remember catholic schools weren't that much different from public schools here in performance.  But that could have changed.  Not really aware of other religious schools.