For 5.0 litre cars Jaguar decided to move to a fibre optic network for all the components based on a protocol called MOST which BMW and Porsche have used. I think definitely worth talking to a car infotainment specialist but would imagine it's not cheap.
For pre 5.0 litre cars I understand they can grab the video feed on the touchscreen unit. Here is a solution posted by one member
viewtopic.php?f=75&t=16288&p=88272&hilit=carplay#p88272. Also gives a mention to their supplier as well so may be worth chatting with them.
If you decide to investigate further I'd be very interested to know what you find.
Best
Mark