The C-pillar upholstered piece is held on by the same clips as the doorpanels, IIRC.
For a VIP, I assume there is a funny-shaped piece of chrome at the bottom - Sport Fury and 300s have such a piece.
Might need to remove the trim around the back window if the C-pillar piece is tucked under that (I don't remember).
But my point is - be careful, of course, but you're not really dealing with the headliner.