While current or voltage overloading is a real concern here but I think you fellas are confused over Imax and Vmax. Imax and Vmax are the maximum current and voltage, respectively, that should not be exceed in order to maintain max COP (Coefficient of Performance, ie. efficiency). If either your voltage or current is too high, electrical heating WITHIN the peltier starts to add to the total amount of heat that must be thrown away. Go read a TEC manufacturer's FAQ.
I think someone mentioned that one power line from a PSU can sustain up to 20A of current but to be safe, dedicate one whole line to the peltier and maybe just few fans.