The more shit you have to bolt on your rig to go offroading for an afternoon the less likely you'll be to do it. Being that it isn't a super expensive compressor I'd mount it permanently to your Jeep then get a second one if you want to haul around in your second vehicle.
The easier it is for you to hit the trails the more you'll be willing to do so. To me that means having my tool bag strapped down to a footman loop in the back of the jeep and my recovery gear at hand all the time. Now I've got my air compressor permanently mounted and an air hose sits behind the passenger seat (takes a lot less space than the portable compressor did). None of this impedes my daily driving duties (when I DD the Jeep) and I don't have to load anything extra if I'm going offroad. Means a Sunday drive into the forest at a moments notice is no problem at all and I'm as prepared as I'm going to be on any given moment (minus chains, I don't haul them around unless I'm headed to the snow).
Yeah. You're right. I will finish the project with the intention to be able to unmount it easily, and will see in the future if and how often I will actually unmount it.