As JamieGeek mentioned, you can buy a video switcher for your camera that allows you to switch one of three or four camera video sources to a single output. That output then goes to a stereo system having only one camera input.
The Jensen system is unusual in that it can handle three video camera inputs, so it has the left/right turn and backup wires already run to the unit. Most stereo systems of course only have one switch.
To use one of the aftermarket video switches, you would simply hook the cameras to the switch, the switch to the stereo display, and the left/right turn/backup signals to the switch.
Here is an example of this product - it is available in 2 or 4 camera switches:
CSP - SecurView? Video Switching Systems
For 3 cameras, use the 4 camera switch and just leave one position unused... or be creative and install a 4th camera on your rig... perhaps an overhead camera to check roof clearance on gas station plazas, etc.
It appears this unit also powers the various cameras so when you turn the ignition off, the camera(s) power is removed.
You may also need to wire the stereo's backup camera turn-on input so that the camera is always on, or perhaps use a set of steering diodes to combine all of the camera power leads to the stereo's backup camera turn-on input. It will depend on your stereo system.
An even crazier idea for the 4 camera switch (that has a wired remote as a second camera controller) is to buy a joystick switch and mount it into the armrest of your coach for the remote switch... something like this top-hat:
You could then manually override the camera that is selected with the joystick. or simply use the switch pad it comes with.
How cool would that be?