[Richard]

You are not going to like the answer. To remove the ceiling treatments, you first remove the plastic laminate stuff. Very carefully, and with a lot of adhesive remover. When you get that out of the way, you will see that Newell stretched the vinyl taut, and used ten million staples to attach. The plastic trim hides all those staples.

Where are you trying to run new cables? Consider the the curved pieces at the outside passenger edge of the ceiling are removable (screws at the bottom). That will get you all the way back to the bedroom. Or if from the sat to a location in the coach, run the cables on the roof.

Personally, taking the ceiling treatment down would be my last alternative.