Oh bugger! - you know I had initially typed the question which one you had! Mine is same as the video - so yeah all you can try is take the screw out and use a screwdriver or thin blade to try and pop it open.
Hey also, if you haven't already got one of these in the link below, it sounds like it might be an option to give you push button start type operation. Where the description for that button says
The car must have a push to start function to use the button - Im fairly sure they mean Keyless Entry and Go - which includes the stick in and turn style Keyfob.
Guy with username bundu I think is talking about this switch in this forum post:
https://www.jeepcherokeeclub.com/thr...button.108162/
To elaborate, I think that bundu guy is saying the same setup shown in the following GRAND Cherokee video actually works in the KL with that type of Keyfob and turnslot dashboard socket:
https://youtu.be/QGajy1-wx_k