Looks like there is an idiosyncracy between the Video PCB ( I have a Radeon HD 5770) and Apple's 27" LED Cinema Display. For me the dreaded "Blackout" only occurs when I connect two (2) 27" Apple LED Cinema Displays to my 2006 Mac Pro 1,1. BTW my Mac Pro has upgraded Intel x5365 CPU chips. So instead of being 2 "Dual Cores at 3GHz" it is now 8 Cores at 3GHz.
Yes, it basically makes the USB function STOP or appear to stop and hence a full power down and reboot to get it back up.
WHAT I FOUND
For me when I reduce the resolution of one of the displays to just under the full resolution spec of 2560x1440, so in other words I set the one 27" LED Apple Cinema Display to 2048x1152 and once I did this, both monitors and the computuer operates normally. Also note that before I connected the 2nd Apple 27" LED Cinema Display, I had a Dell 2407 24" Monitor connected to the DVI port and of course it's resolution is nowhere near what the Apple LED Cinema Display can do, but with just one Apple LED Display and the Dell connected I never so much experienced any lockups, blackouts, wake up issues, etc.
So it is a resolution problem that seems to be driving the screen blackout. I will see later today after my system sits idle for a few hours if I have any problems getting the system to wake up with the slightly lowered screen resolution on one of my ACD LED monitors.
Again, it appears to be the Radeon HD 5770 because I read where a person with a 2010 Mac 5,1 with dual 2.4GHZ Wesmere CPU's was having the same problem. OR it is the LED Display that has some sort of timing issue when 2 of them are connected to the Mini Display Ports.
APPLE we NEED some HELP here.