The Iranians have also put on show their own reverse engineered copy of the AIM-54. You are solely thinking of EWR/RWR. Think outside the box here. Air-to-air radars are particularly difficult to track and detect unless they are painting up potentialy hostile aircraft. The Iranians don't play that game with Coalition forces in the Gulf.
I suggest you put down the Aviation Week mag, and talk to a few people on the scene.