I just worked the math & if you install a 2KW inverter and assume 90% efficiency (typical for Modified Sine Wave (MSW) units), you'll be drawing 185 Amps at max power. That's a lot of juice to run through a 12' cable.
I'm working on something similar on the Coachman & started a new thread on the topic.
Nope, I just kept the small inverter in my dash. I never found a suitable place for the bigger 1200 watt inverter. I actually FINALLY put the 1200 watt to use in my Trooper. Installed it and wired it up directly to the battery.