[off-topic]   Oh, it's a wind instrument relying upon one's lips for production of those soothing sounds.  A "bong-style" cooler, which relies upon "phase-change" for cooling, could not reproduce those sounds.  Add to that the fact that additional humidity in some climates could encourage mold & mildew growth inside a dwelling.  It seemed like a novel idea at the time.     [/off-topic]

On a "risk" machine, disable "Automatic  Restart" upon system failure to view a bluescreen code and the offending file (if applicable).

Also, please mention some models other than the "ThinkCentre M57" so that others have a better chance of reproducing this undesired and potentially harmful effect.

Also, does this same effect occur with "SAD3"?   Is the 64-bit pack effected, too?

30 seconds, eh?  Power-packs likely match the rating of the portable.
At any rate, maybe it would be best to monitor temperatures, Wattage, fan speeds; whatever practical during testing, if you agree.  Decline the usage of a mercury thermometer (naturally). 

This could be hobbling to some.

Does a previous pack function properly with a couple of non-critical models? (elevate the back with a rubber ball safely cut in half, or a stick, pair of erasers, oversize pencils, tiny-didgeridoo, or what-have-you - whatever keeps fans clear!)  Digeridoo H2O "Bong-Style" CPU/GPU cooler; ooo!  Need good waterflow to get sound, though, i garner.  Not for apartment-dwellers!  Sorry, back to topic.
Remove the battery on a test-unit, especially if not fully-charged.  Remove all-but one memory stick, disable HT, reduce FSB,  remove WiFi card if practical.  Sticky-tape antennae, or otherwise insulate.

  These techniques can limit some damage from thermal-runaway, or make more power available for thermal-runaway to ramp in less time.  That is where monitoring a parameter or two can guide.

What is uncovered when you boot into Safe Mode?  I hope that it is possible.  Double check the Keyboard, Mouse Control Panel apps as well as DEVMGMT.MSC versus OEM Specification data & Driver availability concerning the actual TouchPad in each test-case.  If any must undergo disassembly, those would make great test-candidates if TouchPad manufacturer can be visually verified from a logo on-chip, or printed on TP board.  Avoid removing factory laminate from the fragile modules.  Sticky-tape is OK to remove, just be careful with the ribbon-cables (if applicable).

Thank you again, for pointing out those issues!
     What is progress without feedback?   It is unconfirmed.

The DP_Touchpad_Mouse does not include the Microsoft Mice and Keyboard drivers does it ?

Correct, they do not.

I used SAD2-120520

Causes ThinkCentre M57 computers to run the fan at full speed and then reboot after 30 seconds continuously. It boots then fan comes on full and 30 seconds later instant reboot.

The only thing I can think it would want to install from the DP_Touchpad_Mouse would be Microsoft IntelliPoint for the mouse.