Okay, so I tried it and it failed. It fails on startup of the AC motor. I was all set to send it back when I looked again at the specs: 2400 watts peak.
So... Is there some other problem? The alligator clips don't have a lot of surface connection when they are clipped to the battery
leads. Could that be limiting the current? Is the inverter bad?
If its the inverter, what is the best brick and mortar store to visit to try different inverters until I find one that works?
For reference, here is what I had on hand: