If you aren't fussed about using specifically lighter plugs and sockets, look up Neutrik "Speakon" connectors, they're used in PA systems delivering anything up to kilowatts (so tens of Amps) to speaker cabinets, take hefty cables for that reason, are quick-release with a latch - and they're not even that expensive if you get the glass-filled-plastic bodied versions! Run a fused 6mm cable from the battery to the socket (hidden in the car's boot?) and earth the negative side to the bodyshell and all's good!