Not quite—you actually bought a "remanufactured" alternator. "Remanufactured" parts are notorious junk.
If you want a real new alternator, an item made by Chrysler with good components and not "remanufactured" by untrained apes using cheap Chinese component-shaped trinkets in a dirt-floor factory,* you can buy one quite reasonably from Old Car Parts Northwest; they've got scads of 'em on the shelf. New genuine Chrysler regulators, too.
When you go to hook it up, there is no polarity involved; either field wire can go on either field terminal with no advantage either way around.
