Sounds like you're most likely driving a 10 to 20 year old Ford, or maybe an old VW.
Regardless, you can go about it a coupla ways... The output connection on those Ford alternators has two BAT connections and a smaller one for power. You can run thick cable to a custom nearby mini junction block, and then run a fresh plug from the alt to said J-block.
Or, what I'd probably do, is get some insulated connectors that fit the BAT terminals in the alternator, and solder 'em onto some real cable. Might be a chore, but it should work. The output terminals are encased in plastic, so the cable shouldn't even be resting against aluminum/steel. Just make sure all ends are protected from rubbing against aluminum or steel.
You can also replace your alternator with the next generation Ford alternators, they're a direct fit, no retrofitting required other than cutting off the bat plug on the car and replacing with a ring terminal. But generally you gotta pay the core charge too, as your older one wouldn't get credit.
Edit: Oh eheheh just read your user name, you must be driving an old Porsche? Like I said, VW!
It should be even easier on those old Bosch alternators than on the Ford alternators... Scrap the plug, solder some connectors onto some real cable, and you're good to go!