+1

A cheap outlet tester that can be bought at a local hardware store will tell the tale.  Just plug it into an AC outlet when you have shore power and see what it reads.

And you can turn off the microwave and almost anything else by switching off the appropriate breaker in the panel.  Oftentimes, folks that successfully run their AC with a 2 kW generator have to do this in order to turn off the converter/charger, which can draw several hundred watts if it's charging the batteries.

Once a lead acid battery reaches about 80% capacity, a 3 stage charger like the one in the Pod's converter/charger will step down the amperage, usually to around 6 amps or 72 watts, plus the wattage consumed by the converter/charger itself.  So it wasn't drawing much.

I've heard numerous reports of people running their AC with a Honda or Yamaha 2 kw generator (it seems like about half or fewer are successful), but I haven't heard the same of any other brands of 2 kw generators.

Looking back, though, I would strongly consider dual 2k Champion inverter generators for about $1,100 total.  I've heard a lot of good things about them.

The Honda EU3000is is, reportedly, the most quiet generator available on the market of any type or size.  At idle, it's decibel rating is 49, which is less than half the volume of a normal conversation at 60 decibels.  IMHO, that is about the only advantage of going with that generator as opposed to dual 2 kW models.  The sound level will be significantly higher with the dual approach, but if you don't need your AC, you can power just one of them and save on fuel, plus they are much more mobile.

It is slightly louder, but not by much, especially at low loads.  When you're running the AC and the Yamaha is running full bore, it's noticeably louder, but this is to be expected.

To put it in perspective, at low loads, my Yamaha cannot be heard at all more than about 100 ft. away if we're in a campground with bushes and shrubbery around.

It's funny how quickly you become accustomed to how different brands of generators sound.  When I was walking through Sugar Pine State Park's campground in Lake Tahoe last month, I heard an inverter generator running and instantly knew that it wasn't a Honda or Yamaha.  Sure enough, it was a Champion 2 kW.  Its sound level was slightly higher than with the top brands, but I was very impressed, especially considering that it's half the price.

Honda's Eco-Throttle can, according to their website, reduce fuel consumption by up to 40%.  The only way you would see that kind of fuel savings, though, is you had the Eco-Throttle turned off and were running a very low load on the generator.  So dual Honda 2 kW generators will always consume more fuel than one, assuming that the wattage being consumed is the same.

http://powerequipment.honda.com/generators/inverter-generator-advantages

I have not, but I have heard many good things about the Champion 3100 watt inverter generator, and it's over $300 less.  I would not personally consider B&S to be of higher quality than Champion given my prior experience with the latter's generators and others'.