The reason he was able to actually fly that particular palne with the wing missing is mostly in part due to the design of the planes elevators, the horizontally mounted rear control surfaces.
On the F-15, the plane featured in the video, the design of the plane incorportates relatively large elevators. It was due to the large surface area of the elevator on the missing wing side that allowed the plane to maintain partial control of the plane and land it succesfully.
Also helps that isralei pilots are regarded as some of the best in the world.
(If you were faced with total anhialation on a daily basis, you too would get **** good at flyin that plane.
Anyways, just my little explantion on the way it works.