Thanks for your time and input, Danny. I uninstalled UAD and reinstalled using the latest 7.3 update, but my situation with UAD-2 and Sonar X3b remained exactly the same. Just to make sure I was doing it right, I uninstalled and reinstalled my UAD system 3 times.
I did notice that UAD installs its plug-in's in a "Universal Audio" folder in both "Program Files" and "Program Files (x86)", as well as in a "Steinberg" folder in each Program Files location. When I set Sonar X3 to scan only the 64 bit "Universal Audio" folder, the MONO plug-in's did not show up. So then I set X3 to no longer scan the "Universal Audio" folder, but the "Steinberg" folder instead, and both stereo and mono UAD plug-in's were listed, but still failed to function properly.
After doing all of this, I checked and confirmed that the UAD plug-in's work perfectly with X2. I much prefer the new features of X3, so I hope to hear something official from Universal Audio and/or Cakewalk soon.