No, this is definitely not normal. I would start by investigating whether your electric fans are even running. At the temperature in your picture, both electric fans should be running at high speed. The high-speed fans are primarily a save-the-engine design. Normally the
viscous fan and low-speed fans should be enough to control the temperature. I'm in Tucson and unless it is 110 F and I am sitting in a parking lot waiting for someone or in stop-and-go traffic, the high-speed fans rarely activate, and if they do they start to lower the temperature to the point where they are no longer needed. I don't remember when they activate and deactivate. IIRC the high-speed electric fans activate around
102°C 107C. Note: For clarity, the terms low-speed and high-speed fans are referring to the same two electric fans--both run at either low speed or high speed.
If the high-speed fans are not running, then you need to troubleshoot. I can't tell whether you have a face-lifted model ('94-'95) or an earlier model. The face-lifted models have relays for both high and low speed fans with Delco-type fuses on the top. These relays are behind the fuse box. You have to remove the six screws on the fuse box frame to get back to them. The high-speed relay is usually green and low speed is blue. Pull them both out and check the fuses on top.
IIRC, the earlier models use a 30-amp strip fuse located near the driver's side strut tower on the inner fender-well. Remove the fuse and put it in your hand. It could look good but still have a hair-line crack in it so check it out thoroughly.
If the high-speed fans are running, then you need to investigate whether your low-speed fans are running. Those operate from a separate circuit and are activated by the red refrigerant pressure switch on the side of the receiver/dryer. If your refrigerant is low or the switch is bad, this will prevent the low-speed fans from activating. The low-speed fans don't operate all the time, but in Phoenix this time of year with the air conditioning running they should definitely be running. You can bypass this switch with a paperclip for troubleshooting purposes and that would take out low refrigerant or a bad switch from the circuit. Other common causes of the low-speed fans not working are a blown fuse, bad low-speed fan relay, corroded wiring at the step-down resistor located behind the driver's side headlight, or a bad step-down resistor. The fan itself could have failed as we recently saw with a forum member.
Assuming the high-speed and low-speed fans both check out okay, then you should look into other things, like whether the viscous fan clutch is operating properly. Could it be a bad/clogged radiator or thermostat? Coolant ratio too high? What kind of plugs are you running?

