I don't know what the deal is with that page - looks like it has the list from 2009, with the Thunderbirds, Snowbirds, and Horsemen, none of which are scheduled to be here this year. This page: http://www.jonesbeachairshow.com/aircraft.html looks to be more accurate, listing the F-22 and A-10 demo performances.
The Thunderbirds have Memorial Day weekend as open on their schedule as that is when they will be traveling to Europe. They perform their standard flyover of the USAFA graduation on Wednesday, May 25, then their next show is the weekend after Memorial Day, June 4 & 5 in Turkey. That's a 10 day block of time to pack up, move everything across the pond, and get set up to perform over there. Not that I'm happy about it, but that's life...

