you use an external power supply to power the cooler or coolers insulating the case i would not bother but the issue is how cooling you can get from one of these units two factors come into play the temperature difference the unit they can so if you can get a 40 degree difference at say 80 degrees outside hot summer day on the inside you could get close to a 40 degree drop i would expect a 40 degree unit to deliver 30 degrees due to the next factor that being the max amount of heat they can expel this calculated as watts at 90 percent efficiency so a 600 watt cooler with a 40 degree difference a few units with that total power
http://www.rapidtables.com/convert/power/Watt_to_BTU.htm
so you looking at 1800 btu another way to look at this would be take your total system power taken from a wattage meter at the input of the power supply now if you sealed off the case and had say 400 cfm of fans going directing cooled air and air to be cooled back to the coolers and you you either went 1/3 over your total power usage mesaured from the power supply or went 1.5 times your rated power supply you would be fine with this system do not forget to cool the power supply its self if its all sealed or allow for some air to be taken in from outside then cooled and out though the power supply an external power supply is a must for this or the power supply is just gonna add to the heat its doable without an external power supply but i would advise against this way as the power supply is 80 percent efferent so if you ask 600 watts to power your coolers you are gonna get 125 watts in heat from the power supply some of that will be vented out if you could mount the computer power supply outside the case that would be a help as well as a separate 12 volt power supply just for the fans and cooler units they make industrial power supplies normaly set to give 13.8 remove the cover and a little adjustemt or few can be found inside one of them will allow you adjust the voltage of the unit from 11.5 up to 15 once you set this it will stay at that voltage no need to check it again
http://www.nitrohouse.com/product.asp?itemid=3712&gclid=CNPlyI2W4b0CFe87Mgodtj4AOw i just might do this for computers on my motor coach but i will have access to a large source of deep cycle batteries so no need for a seprate power supply that will be built into the coach from shore power suplemented by solar panels and the generators if needed