This is exactly what I did for mine. I have my inverter mounted under the front bench of my camper with the battery bank, battery switches, etc. I punched a hole in the front wall big enough to feed the cable thru. Mounted the box to the front wall of the camper on the outside about a foot from where the shore power cord comes out the side. Wired in the TT outlet with a standard three prong 15 amp male plug on the other end to plug into the inverter. I disabled the circuit to my converter permanently as I have no need for it. My solar system is more than enough to maintain my 235 AH golf cart batteries and I rely on that for battery charging at all times. Only thing my shore power does in the driveway is keep the fridge cool.
I boondock exclusively so I built my rig with that in mind. All LED light fixtures inside and out. Tossed the furnace in favor of a Wave 3. Every single accessory is 12 volt as stated earlier in this thread. Tv, stereo/DVD player, lights, fans, you name it. Fridge runs propane mode when at camp. The inverter so far has only been used to run my small coffee pot for a few minutes in the morning. I get a bit of voltage drop when it first heats up but it recovers within a few minutes. I have a spare 2 Farad capacitor floating around from an old car stereo install I've been debating adding in before the inverter to help with the voltage drop issue, but so far it hasn't been an issue.