My adding inverter plans - Pls review and comment - Event Date: 29 Mar 2018

Agree. The amount of current required to run an inverter at 1500 watts is enormous, and would require humongous wires to support. Just 1500 watts would draw 125 amps. If you should happen to put a 3000 watt load on it, it would go to 250 amps. Now you're talking about welding cables.

Even a 1500 watt load would deplete your 150 AH batteries (if you have two of them) in less than an hour. The usable capacity of TWO 150 AH is about 1800 watt-hours. That means you can run 1800 watts for 1 hour, and then you are done. 

If you can make it work, more power to you. I seriously doubt your measley 150-180A even with your 120W solar would be sufficient. Is that the capacity or 50% of the capacity of the batteries? You don't want to discharge deeper than that or you risk damaging your batteries.

Upgrade to a bank of Lithium Iron Phosphate batteries at double or triple the capacity and it might be doable. Lithium batteries can be discharged much deeper without damaging them.

You would be better off getting a minimum 2000W generator for what you propose.