Hi Gang, Burl, I hope you got that idea from me!!! Anyway, I went thru the same situation with the noisy tv. I was amazed that something so big and heavy for it's location was not fastened down. In fact, after some hard bumps, it once jumped that piece of wood! I complained to my dealer about the noise and the 'jump'. They took it apart and applied some kind of strap to hold it down.
However, my long range plan is to remove that tv, and get a 17-20" flat screen.I will then make a box to fit that space, including a door with heavy hinges of some type, and mount the flat screen to it.
While you have that space open, you can CAREFULLY feel around inside and either silicone glue or 'Great Stuff" many areas that contain wires that also make a racket.I say carefully because there are the 'other' ends of mounting screws that will surprise you.
Lemme know how you make out.