My whammy system is set up so I can yank the bar up as well as do dive-bombs with it. This means that if I accidentally push down on the bridge with my palm, my strings go sharp and sound out of tune. I make sure this never happens by never resting my hand on the bridge when muting. I always do my muting just in front of the bridge.
With the right outlook, you can learn to entertain yourself and entertain each other so you can enjoy doing what you're doing. There's obviously gonna be highs and lows, and the trick to it is to be able to maintain composure and stay high even when you're in the lows. That way, when you hit the highs ,it'll be twice as killer.