I remember those games well.
'06 - Was an entire Corps' trip. Huge march-in for us and a ton of West Point cadets. It was marketed as the "Corps Classic." I think Sq 16 had a giant banner they made with the supposed Patton quote that they held up in their section. Definitely too close for comfort - ironicaly also the year we were something like a collect 5 points and 2 minutes away from going undefeated, then got crushed in the Holiday Bowl.
Citadel was also too close for comfort, though I don't recall much special for that game. Not sure more than a handful of their cadets came. I think I do remember a D lineman getting an INT or fumble recovery and running 40 yards for a TD and then being out of breath for the next 10 minutes. I think that was that game.
'08 - Some 500ish West Point cadets came to the Quad Thursday/Friday and stayed with us in the dorms, ate with us at Duncan, did PT with us, went to yell practice, were wide-eyed at what they perceived to be hazing (like FDT practice, some outfit smoking their fish, etc). Their plebes had to be in uniform the whole time, so there were cadets walking around everywhere off campus in uniform, like Best Buy, Northgate, grocery stores, etc.