Can’t read the specs in the photos but it looks like an older ‘style’ unit. The modern inverter (split-systems) are very efficient and even a large 6kW unit only uses about 2000W or 10A to operate.
Maybe the problem is the lower voltage 120V used in the US which would double the current draw. Is this a 120V or 240V unit?
I think you will only be able to run one of the 2 air-conditioners in a blackout or risk draining the battery during cloudy weather (assuming the blackout is caused by a storm, hurricane etc)