Adjust the amount of Mocha stabilize?

I have a couple shots that Mocha (and the awesome MochaImport script) has beautifully stabilized. However, it's a little too rock solid.

Is there someway to craft an expression that can dial back the amount of stabilization? This would be particularly helpful when I have a continuous shot that needs to go from jiggly handheld to rock solid and then back to jiggly handheld.

I could link Wiggle to a slider and keyframe the amount of wiggle to introduce some randomness back into my stabilized shots. But that's kind of artificial.