Joe, those switches will work fine on DC until you try to open a circuit with 10 or 15 amps of inductive load. Then it will weld shut because there is no zero crossing to put out the fire.
You can mitigate that with a diode across it.
I hope you don't mean the yellow plug is the output of the inverter.
I am still concerned with mixing 12 volt and 120 volt receptacles using the same type of plug. I would use "lighter plugs" for all of my 12 volt stuff. They do make good ones and you can get a lighter socket in a 3/4" KO as I recall.
