If boondocking was my ultimate goal. I'd do something similar to johnny mullet. Most of your little uses like fans, pumps, lights and electronics have dc powered options available. Heck, most of those items (except for motors of course) usually convert the ac to dc internally anyways.
So if you can avoid the 10-15% loss creating the AC, you're power ahead. I also imagine there is an energy loss converting the AC back to dc for use in the devices (no conversion is ever 100% efficient). So the total loss of conversion back and forth might be more.
Use an Inverter for your electrical needs that can't be sourced at 12v easily/economically (fridge,freezer,washer,microwave,coffee maker,etc.).
Any of your large heat producing items(water heater, stove/oven, drier, furnace) run off propane.
As far as air conditioning goes, I don't think it can be operated off a reasonably priced battery/solar setup. So maybe have a generator onboard for when it is necessary.
And before anybody flames me on that, you can buy a pretty nice generator and a large amount of fuel for what some of you have in your solar setups.
Or just be connected to shore power on the really hot days