The Syrian really commited pilot error.....messing with the Israeli air defenses. The Golan will be littered with Syrian planes if they keep this up.
While the F-16 is a fine air combat fighter, the Israelis, as the US, use it primarily in the ground attack role. Witness the paint scheme on the F-16 you posted. Desert camo on top, to improve visual "stealth" from high flying fighters/interceptors, while it is down in the weeds (or the sand) supporting the ground forces.