Hit it hard with another object, preferably heavy and blunt.
Otherwise I haven't got any idea what you're on about.
Speaker?? As in House of Commons?? Not sure what shape his bottom is anyway, but I think he's not actually deformed.
Maybe some manual massage might help to edit his curves though.
You have several optioms. I would group the shapes the go to Object>Envelope Distort>Make with Warp there are a number of options there taht will allow you to apply the warp to just one side of the object,
In the same area there is Make with Mesh, probably two x one cells.
Then there is the distortion tools sometimes called liquify tools.
You can do it manually as well.
You might alo comsider making it a symbol and use on of the symbol editing tools or the distortion tools.
Then you can do something a little funky and turn it into a gradient mesh which will give the abitility of distorting it in a manualy way and color and shade it to conform to the shape might be the best way.
Scott ot Doug or Jacob and Steve will know best that options.
Steve think RCA Victor
Yep. I was being cruel
A few images showing the present and wanted shape would be nice; the latter may just be a path or whatever. If you upload, use the Camera icon to avoid queueing.