this is what my dual battery setup is like. my battery and dc-dc charger is in one box as shown here on my setup. all i have to do is connect my fridge to the box and it's always on all the time whether i use the car or not.
https://www.youtube.com/watch?v=ZbVtZvK-f9s
https://www.youtube.com/watch?v=ZbVtZvK-f9s
I installed a lithium 100ah battery charged by a Redarc bcdc supplying power to a few things such as the fridge from a newly installed DC plug when engine is off.
The thought process is that I can use the alternator to power the fridge thru the inverter when the engine is running using the ARB 120v plug. Simultaneously, I would have the ARB plugged into a DC outlet with power supplied by an aux battery when the engine is off. The ARB will automatically switch to 120v when available then back over to DC when engine/alternator is off. And I don't have to unplug and replug every time I start the engine. And the ARB fridge has one DC power plug and one 120v power plug.
But I am wide open to ideas and suggestions.
Edit: I expect the alternator to adjust to accommodate the additional load on the system from the fridge.