PGaither,
It sounds to me like your truck is doing just what is is supposed to do.
In the intake air heating system, there are two heating elements and each one has its own relay.
When manifold temperature is below 59 degrees F, they will each be cycled on for a certain period of time determined by the temperature. When one turns off the other turns on. (that is the clicking that you hear)
This goes on until operating manifold temperature is reached.
The heating elements each draw a considerable amount of current. That is the reason you see the dimming of lights and the voltmeter in the dash fluctuating.
There is obviously nothing wrong with the heaters or the relays in your truck.
There is a chart in the manual that lists what the resistance of the sensor should be for each temperature over a range of minus 40 degrees F to 248 degrees F.
For example:
At 0 degrees F, you should have a resistance of between 29,330 and 35,990 ohms.
At 50 degrees F, you should have between 17,990 and 21,810 ohms.
At 104 degrees F, you should have between 4,900 and 5,750 ohms.
At 212 degrees F, you should have between 640 and 720 ohms.
If you want to check the sensor with your ohmmeter, unplug the connector and place the meter leads on each of the pins in the sensor. It shouldn't make any difference how the leads are connected.
If you really want to check the sensor, I believe you could remove it from the truck, immerse the tip in water and with the ohmmeter connected, watch the change in resistance as you increase the water temperature. When it boils (212 degrees F) you should see the resistance between 640 and 720 ohms.
If you want to check voltage on the wire coming from the PCM, connect the red meter lead to the black and red wire and the black meter lead to either the black and light blue wire or directly to ground.
Hope some of this helps.