Ok folks...lots of misinformation going around.
the cooling system on the hmmwv is simple, yet over engineered, like all things military these days.
the HMMWV uses a hyd fan clutch, assuming everything is working the fan free wheels when cold, it is NOT locked, so it's not moving air, you will know when it comes on...trust me.
your thermostats are set to open at 180-190, if you are using mil spec stats. The fan should not engage till 210-215. The way it works is that you have a time delay module and a Cadillac vaave solenoid, there is also a temp unit in the water crossover on the left side, wire 458 IIRC. When the temp get to 215, that sender closes, supplying 24v to Cadillac valve solenoid, thus stopping fluid from flowing to the fan clutch, this in turn engages it, now the TDM or time delay module takes over, it leaves the fan on for say 1min, then turns off and the fan disengages, this repeats itself every " I can't remember". The override to an engaged fan clutch for purposes of passing and fording are to mash the accel pedal to the floor, this causes the switch on the right side of the Injector pump to kill the 24v to the Cadillac valve, as you know, you loose quite a bit of horsepower when that fan is engaged.
remember, that a bad TDM, Cadillac valve or thermostatic switch will default the hyd fan clutch to engaged, the easiest way to test is unplug and plug back in the TDM connector with the 2 wires on it, as you do so, watch for the fan to move in and out from engage to disengage or vice versa.
Now, I also see a lot of stuck on fans due to the clutching plates in the fans stuck....this requires you take the clutch out and beat it with a mallet...you can use 90psi air into the fan clutch to simulate the hyd fluid function.
do NOT trust you temp gauges....they lie badly, you can buy cheap laser thermometers to get the true temps, Ot put a thermometer in the cool and tank.
a clogged radiator will cause running hot issues, so take it out, send it out and have it rodded, unless it's new and you know it's new.
water pumps either work or they dont, and you will know in a few minutes if it does not work.