Wow! Impressive!
So does that mean the grid is available, but you just don't normally use it? This is an interesting scenario. I would say this is an expensive way to charge the car! Panels + battery and inverter and all!
So in an optimal world you would take solar and just put it straight into the car (avoiding losses putting the power into what I presume are lead acid batteries and then pulling them back out). But the car is not really set up to handle this.
One interesting option would be if someone made a unit that could vary the pilot signal to the car to vary the amps of charge to only charge during solar production hours. (though you may not have the car at home at the right time of day for that)
But that is not the question you asked:
I wonder if getting a NEMA 6-15 adapter for the UMC Gen 2 would make sense so that even if you accidentally forgot to crank down the charge amps it would only pull 12 amps. That, or install a wall connector and crank it all the way down to the lowest setting of 12 amps.