I realize everyone has individual needs, but the factory 12v cig style port will not handle a lot of draw. Certainly less than 10 amps and it's unlikely it will handle the inverter, but we won't know until someone tries it.
To the OP,
http://www.amazon.com/Panasonic-Lumix-DMC-FZ100-Digital-adapters/dp/B004DLJNQE
I'd be hesitant to charge a laptop off the bike with it shut off, as in sitting around the campsite overnight. Might wake up to a charged laptop and a dead bike battery. Have you considered an extension cord for your packing list? You can often find an outlet in the bathroom of otherwise rustic campgrounds. If you've just got to have re-charging capability in the woods, consider a solar charger. The two panel ones work well for laptops.
One option -
http://www.espow.com/wholesale-16-000mah-high-capacity-solar-panel-charger-for-laptop-31-unique-adapter-tips.html
Another -
http://www.amazon.com/Portable-Foldable-personal-Universal-connectors/dp/B00510Z48W
For extended moto-camping a smart phone is far more packable and easier to deal with/charge while riding. Sure, not as capable, but what do you really want to use the laptop for on the road? Just email? Pretty much everything else you might do on the laptop can wait until you get home, imho.