I love Cornell. I am Cornell. AND I'm an insane leftist with a very specific attitude about our nation's approach to the military and military culture generally. That said...
The admissions requirements for West Point and Cornell would not be depicted as a big West Point circle with a little Cornell circle inside it. There are a lot of West Point admittees who couldn't get into Cornell and a LOT of Cornell students who couldn't get into West Point (like me, and not just because I couldn't do all the pushups.) The average SAT score is probably higher at Cornell but that's not particularly important. The military academies are looking for different things - a committment to something, a desire to serve - than the Ivies are and it's reflected in admissions, even for those recruited in part for athletics.