Jackson, in addition to what Shale said, the circuit you linked to is for overvoltage protection. That circuit is for if the voltage goes over the zener voltage, the fuse will open. A zener requires a properly chosen resistor in front of it so the zener will regulate the voltage by shunting the current through the resistor.
Since idahowayne is so concerned about energy consumption, a linear regulator is still the wrong approach. There are dc/dc converters with efficiencies of 98% no matter what the input voltage is. You can find them at Digikey, Mouser or Newark Electronics.
A linear regulator regulating an input voltage of say 15V must drop 3V at 110ma to dissipate 0.33 watts. It isn't much but when running off grid, every watt reduces the run time of the battery.