Well, I’m not too sure I fully understand your goals or system, so this is what I think I know:
1)Truck is late model with a combined 400amp smart alternator
2)160w of OEM Solar (considering additional)
3)1000w inverter (assumed MSW – i.e. modified sine wave, no Charger function) supplies TV(AC), but not refer, AC unit, microwave or AC receptacles
4)AGM batteries (assumed 2, combined net capacity of about 100 usable amp/hrs)
Asking if it makes sense to go with a 3000w inverter to be powered by batteries (charging via truck alternator), so as to power-up AC receptacles, refer, air cond, microwave and – inverter to power-up camper via shore power connection.