Wow Tim, thats a kewl looking gadget, My son likes those on his puters but I am cheap so I had him leave them off on mine
Anyway back to your question, The controller should run off 12vdc but I suspect that between the controller and the fans it may pull a bit more power than the 800 mw or whatever the power supply in the converters rated, if its less you'd be good to go
if its more than the convertor puts out go to a straight 12 vdc source, you dont want to vary the voltage going to your temp controller anyway