Yea, we finally found the problem. A chance visit to another bike shop in our area led to a conversation with a really sharp and super nice mechanic. Abby briefly explained about the vibration problem and the long list of things we had done to find it. He asked permission to ride the "CAT" and Abby agreed. When he returned he said "I believe I can fix it". Although doubtful, we agreed to let him try. Remember from our past posts all of the things we had tried including to a total rebuild of the engine and balancing the crank. We left the bike with Scott for a couple of days to test his magic. When we returned Abby rode the bike and was amazed. It was like new and with the rebuilt engine it screamed and was smooth. Scott had installed a velva ride front mount, unbolted the engine and cranked it up to allow it to center. Then he did a complete realignment of engine, wheel, etc. That did the trick. After spending countless hours, thousands of dollars a sharp young mechanic trusted his abilities and solved the problem. He has since been delivered large quantities of Abby's famous cookies. Many of the things we had done were needed and the total package has left Abby with a really fine FXR4. Thanks for all of the input from you guys and gals.
Plasmaman