Dual Powert Supplies?

First, my computer:

ASUS M3N-HT Deluxe/HDMI Motherboard
Phenom QUAD Processor
EVGA GeForce 9800GT (2x in SLI) Video
Fatality Titanium PRO Sound
4 Gigs RAM
DLink Wireless Network Card
1 SATA 320 gig HDD
1 SATA Lightscribe DVD
Big Antec case

The primary purpose for this system, as if you can’t tell, is gaming.

I recently added a Coolmax CPU sink (with big ol’ dual fans). Shortly afterward my 850 watt power supply up & died. The system just won’t start. If I toggle the IO switch, it will give me a quick bit of juice (fan whirls and lights up) then nothing.

I figure the PS just couldn’t take the load (does that sound about right?)

Anyway, I went shopping for a 1000 watt PS. I can’t see spending $250+ for a power supply if I can avoid it. So here’s my idea. I figure there must be a flaw in it, as I’ve not heard of anyone else doing it:

Why can’t I hook up two 850 power supplies? I connect the motherboard (with the CPU and mega fans) and the case cooling fans to one, then everything else to the other.

The only drawback I can see is the possibility of one failing, leaving the other one live. But even then since the equipment “pulls”, either one quitting would prevent the other from outputting power, right?

It’s a given that two 850s probably cost as much as the 1000 watt anyway, wouldn’t it be more efficient as far as the computer is concerned? Two power supplies will never run anywhere near their max capacity, so should be quieter and cooler. Since none of the equipment will be trying to suck up more power that is available, everyone will be happy!

And just think of the modded cases you can make with dual power supplies.

So….

Am I missing something?