Alright, I reinstalled FSX and FSX Acc. using the instructions from Nick N. (in the thread above) and the problem still exists. 20 minutes flight time and then FSX calls it quits and freezes.
I don't know what it means to have an "overclock" so I really couldn't even tell you if I have any. The only over-anything I get is an "overspeed."

I'm out of ideas. But, just in case it helps anyone my system is running an i7 920 @2.67GHZ, 6GB of RAM, and Windows 7 64-bit as you already know. Wouldn't think that running FSX would be much of a problem. Worked great on this same computer when it was running Vista Ult. 64-bit.
Bring on the ideas before I drop the disks out of the real airplane (and yes, I will notify the people below according to part 91.15).
If I'm not flying the real airplane, you'll usually find me flying the virtual one.