Its NOT a stupid idea. Many heavy/night fighters carryed radars during the WW2. 110s, 410s, He-219, Mossie, Beaufighter, F6fs, P38s, P-61 etc tec.
It could be like an ordenance, you can hang the antennas on the plane, for some speed/weight penality.
Also it can result in a smaller circle (say 7 miles) or a 90 degrees section turning as you turn your aircraft.
Obviously needs some developement even in theoretically, but it would be AWESOME for the scenarios.
