Neat design. I couldn't work out if you had cut the heat sinks into the back plate or not. Should work a treat.
I think you may pop a few fuses at the very least if you use that power supply with the peltiers and fans running flat out. It only produces 12V anyway which is less than optimum in any case. Can you rig up a voltage input control? That may restrict the draw if you include some resistors along the line and that will reduce the load on the power supply.
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