T. W.,
Unless you are a whiz at installing springs and getting the detent slot in the right spot every time without pulling out all your hair and spewing epithets at any creature who asks what you are doing, you have no need to take it off, that is pretty much pure Hollywood. Of course, there are some that do, but by and large it ain't needed.
I have a Pedersoli with the rear ladder sights still on as there is no real need to remove it unless it is in the way of your sight plane with the tang sight. Mine has a Parts Unknown Mega Soule tang sight, I simply lay it back on the stock when I'm done cleaning and then put the whole thing in a hard case strapped in with velcro. If you only have a soft case then simply put a thick sock over the sight and lay it back on the stock, this will absorb any bumps, etc. A hard case is worth the investment and they can be had in many styles from plastic to Aluminum at whatever price range you feel comfortable with. Hope this has helped.
Best regards and good shooting!
'Ol Gabe