That idea's just crazy enough to work! Do you know your present Wh per mile? You can probably predict the "range benefit" of implementing your idea by taking the Wh in the auxilary batteries, assuming a loss rate (like 50%?) due to inverter/conversion/charging losses. EV's range from 200 Wh/mile and up. Your Mustang is probably in the 350 Wh/mile range.
If your twin 12V batteries can produce 100 Ah each with a short discharge duty cycle, then you've got 200Ah at 12V to work with . 200Ah x 12V = 2400Wh. If the losses are 50%, then you can theoretically deliver 1200Wh to your batteries, assuming the inverter and charger can deliver the same in the given time. So 1200Wh/350WH/mile = <4 miles. Is it worth it?
Another way of looking at it Ted's rough rule of thumb that every Flooded 6V PbA (or equivalent) battery gives you 2 miles. e.g. his 20 batteries = 40 miles. Your 18 batteries should give 36 miles or so (more cells but fewer plates in 8V batteries). Your 2 large 12V batteries might be the equivalent of 4 6V batteries so, again 4 miles, at most (factoring losses)?
This is not definitive - I've included many assumptions and I'm still not sure my calculations are correct.