Yes you can come straight off the starter "Batt" lug to the alternator.
well holy jackpot shit WOO-HOO
X2 on that- Though make sure you wire in a diode or have a full disconnect on either + or - so your battery does not get drained overnight-My race cars all use 1 wire alt but I hate when I forget to disconnect as the battery will be completely dead in 48 hrs.JW
I would think you've got something else causing a draw. I can't see how the alternator can be pulling any juice when not in use unless you're pulling juice from this circuit to power something else. I've always wired direct to the starter, or remote starter solenoid, or a direct battery + lug. I know some people put a diode in so as not to back feed the ignition system. Sometimes the boat won't turn off otherwise.
with my old motorola single wire thats all i had. a single wire going directly to the battery. HEI ignition on a switch. no diodes, nothing.