Definitely de-couple, or Isolate, your speakers initially.
Everything in that picture is sharing vibrations with everything else. not necessarily optimal for good sound.
Try a quick experiment. Grab 2 hard cover books of the same thickness and lay those under your speakers. Magazine might work too, or several layers of cardboard. if you like what happens, continue with figuring out good Isolating products like Vibrapods, sorbothane or herbie's products.
pull the L & R speakers forward when doing any listening tests though, your tv screen could be messin' with the sound... at the very least, place a cotton towel over the screen temporarily.
Personally, i'd scour some 2nd hand shops for cheap stool's that you could paint or stain to match the TV stand. Use these as speaker stands to each side of your TV. getting speakers away from the rest of the gear would be a good thing... Make sure the 1st time your wife hears them the lights are off, mitigate the WAF factor through better sound!
even with shielded speakers i'd be scared to put them so close to a TV.
