I've been away from this thread for too long, mostly because I believe that Apple introduced a regression in the power managment in 10.8.5, and it is therefore up to Apple to fix it.
However, I appreciate everyone's positive responses for temporary fixes including "set display sleep to never" and "while true; do date > wakey ; sleep 30 ; done".
As I said in the original post on this thread, I restored my Mac Mini Server back to 10.8.4 pending some kind of response from Apple. In the case of the Mac Mini, I have an external drive array that Mac OS X would lose track of after the OS put the array to sleep. That kind of behavior was pathological and I wasn't going to fool with hacks to try to get it to stop, so I rolled back the OS.
In contradiction to what I said, I actually left the Mac Pro on 10.8.5. Mac OS X would aggressively put drives to sleep after just a few seconds. Upon nudging the machine, the drives would spin back up--but due to the delay, some apps (including Finder) would timeout, crash or hang if they were using a file on the sleeping drives. Since I have a mix of SSDs and hard drives--with the OS on an SSD--it wasn't immediately apparent what was causing it. Obviously SSDs don't "spin up" and/or their return from a low-power state is much shorter than with a spinning disk.
Setting "display sleep to never" has temporarily solved the problem on the Mac Pro, with the caveat of course that my display won't sleep. However, even with this fix I will not upgrade my Mini Server to 10.8.5 without testing the forthcoming Supplemental Update first. I would also recommend against upgrading to 10.8.5 to anyone with spinning disks.
As an aside, prior to 10.8.5 I had various problems with drive sleeping that were almost certainly the drives themselves. That is, the drive firmware itself would cause a drive to sleep if it wasn't accessed within some period of time. However, the drives used much more sensible timeouts than what 10.8.5 is doing. Also, I have been able to reason with some of the drives with the utility "hdapm".
I suppose (in this latter case) if I want less sleeping on the job from drives I need to be buying drives specifically made for RAID or servers, and avoiding the eco/green drives.