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Another way to put it: Assume for a moment that you -could- run the AC from your batteries. How long would it last? Well, let's do some simple best-case math: The batteries have no more than 50 amp hour capacity, so 12 volts * 50 amps * 1 hour * 2 batteries = 1200 watt hours. My AC runs at < 15 amps, so let's say it takes 120 volts * 14 amps = 1680 watts. 1200 watt hours / 1680 watts = 0.71 hours, or 43 minutes. And that's assuming 100% efficiency, ignoring the effects of such high current drain on battery capacity & life, and killing your batteries by discharging to 0%. A more realistic number is half, or 20 minutes.
So in other words, it wouldn't be worth the trouble.
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