I uninstalled ADW EX and that reduced my seemingly random reboots by about 95%.
I still get the occasional reboot, but it is usually when my phone is trying to do too many things at once. As an example: this morning I opened Pulse news reader and while I had it reloading all of my feeds I tried opening an old article. After a few seconds of a black screen, the phone rebooted. My fault.
By and large, the reboots are gone now that I'm no longer running ADW EX. I'm disappointed I purchased it. And once I'm using ICS, I'll probably never use it again because I'll most likely end up on Apex or Nova. Bummer.