Adding new frowns/mouth expressions in Ai: whenin Adobe character, the mouth isolates

Yes. Take a look at my example using the Chloe puppet. 

I cannot tell from your image, but each viseme should have a link to an appropriate image on the right. You appear to have created swap sets for all of the individual visemes instead of the mouth itself. Also, there appears to be sublayers for all of your mouth shapes which would require additional behaviors to make them cycle their animations (if that was indeed your intention). I'm kind of up to my elbows in my projects at the moment, so I'm hoping one of the other experts has a little time to walk you through the process.