An F-16 engine is about 65% of an F-16 by weight & volume. It's a single engine plane. It's an engine with wings and a chair tied to the top. Can I put on a set of coveralls that say "Al's Jet Engine Repair", drive with in with a 1987 flatbed truck, borrow a forklift from a line mechanic, load 'em and drive away? How stupid is the Israeli military? Not very. How corrupt is the Israeli government? Very. Most Israeli's think so. Is everyone afraid that some higher up was responsible and doesn't want to know? Israel may have it's precarious position compromised by the greed of its own people.
Take everyone on duty that night and put their feet in a tub with a chironex fleckeri, commonly known as a sea wasp, a species of box jellyfish. They will tell you everything they know and make up what they don't. Sort out the facts and do the same at the next level. When you get to the top, recover the engines. After you do or if you don't, take the top guys out in the desert and shoot them. Don't bury them. Let it be known that they were shot, not buried and and animals are currently splitting up the bodies based on how big and how mean the animals are.
Doing this once should put an end to this bullshit.