Keep in mind that the SuperCharger clutch is controlled by the ECU, and the ECU will not engage the SC unless it is totally happy with how things are working.

I am not an SRT guy either, but I DO know the ECU is watching a LOT of parameters to determine if SC engagement is "safe". (Same applies to A/C engagement, there are a few items it is watching then, too - maybe not the SAME things, but stilll...)

If the ECU is getting information that there is an issue with any of these, the ECU won't command the SC clutch to engage:
... The engine temperature is too high
... The engine cooling fan is not turning on or drawing the expected current when told to run (If the SC engages when the engine is cold, but not hot, this may indicate a problem with the cooling fan.)
... The coolant pump is not working (I am not sure how it knows if this pump is running, there is no monitoring of pump current flow like there is with the engine cooling fan)

Also, it is POSSIBLE that it is simply a bad relay that powers the coolant pump - that relay is on the pulse module. (Every car has one, even tho non-SRTs have no SC clutch!) Consider yanking the pulse module and inspecting the relay contacts - note that the starter relay is also on that board. Pressing the relay contacts together can cause unexpected starter engagement so be careful! One relay powers the starter directly, the other, the coolant pump.

The 'relay" for the SC clutch, if it exists, is on the ECU...