Hammer, I like the "other" approach.
It keeps both psu's fully independent. You can swap out at any time, or give a psu to a friend without having to redo connections.
Go down to Autozone, and get a 12v relay. You probably want one that can handle several amps.
Hook it up with a wire poked into one of the 12v power cords. Hook the other side up to the "on" and ground.
When the first powers up by hitting the "on" switch, it closes the relay, connecting the second one to gnd, and flipping it on.
I used this with my 85w peltier what seems like a long, long time ago. I even turned up my secondary psu to something like 13.3v to give it some extra power. Kicked ass, totally.
Until it burned out after about 3 days. But I really didn't expect that 200w PoS to last any longer...
[Jedi mind trick] You LOVE Palladium. [/mind trick]