Personally, I would never leave my Jeep running in idle, in extremely high outside temperature, with the Air Conditioner on full. That is a definite way to overheat it, and possibly damage your engine. I have that experience from living in the San Fernando Valley in Northridge where the temperatures reach 115 degrees in the summer. In the desert, I'm sure it can be worse. You definitely want that air passing through your grill. If I am driving, and in a lot of stop and Go traffic, with my AC on full, my temperature gauge definitely goes up a little. When I start moving consistently, it goes down. If I'm in the S.F. Valley, on a very hot day, I would rather sweat than risk ruining my engine with the AC on. You can also back flush your radiator, to get the junk out of your fins. Older vehicles tend to shred iron from the engines and it can plug up your radiator fins. I had that problem with an old restored convertible GTA Mustang of mine. I was losing radiators every six months. I noticed that there seemed to be a lot of iron deposits plugging my top fin, when I examined the blown radiator. The top of my radiators kept blowing out and leaking. I put an inline Gano Coolant Filter in my Mustang, on the top hose, and it filled up with engine deposits in two weeks. It was filled with metal iron desposits from my engine that was plugging my radiator fins. I removed it and cleaned it. The filter is clear so you can see if it is filled with iron deposits. After awhile, I didn't have that problem anymore, and the filter stayed relatively clear of deposits, and I completely stopped losing radiators.