I assure you, you cannot run 4 high end GPUs on a lowly 1200W PSU. For a quad setup, you're looking at a 1500W PSU, minimum, and probably 1800+ if you want to get some decent efficiency out of it.
For 8 GPUs, you're at 2500W wall draw with Titan X, 3000+ with AMD cards.
:)
To the OP:
Either don't worry about it and shut down/sleep your machine when it's not in use, or build a new machine. I upgraded from my desktop to an iMac, and the power savings are immense, but that doesn't mean you'll save money on it. The difference between an 80% and a 95% PSU, on typical desktop loads, just isn't much.