I did this on a previous LR4 of mine and didn't love it as much as I thought I would.
Take into consideration I have the Terrafirma swing away tire carrier, and the spare tire blocking the view of my backup camera was the impetus to install another camera.
So I bought a spare time camera mount (camera included) like this:
View attachment 27068
And a Fakra to RCA video cable adapter:
View attachment 27069
I tapped into the backup lights in the rear quarter panel to power the camera when the vehicle's in reverse, but if I was going to do it again, I'd tap into the power provided to the factory camera so it would stay on a bit longer.
View attachment 27070
Videos of mounted camera:
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Video of what the interior screen looks like with the stock camera first, then the tire mounted camera. In the end I didn't care for the tire mounted camera because I lost visibility of the hitch, which is really useful because I do a bit of towing.
bit.ly
Hope this helps!