yea i would bet on the alternator. if it was ur battery once u jump started it it should run fine. to test wich one it is, jump it, if it stays runnin long enough, disconnect your neg battery connection, if the jeep still runs shitty or cuts off id put money on ur alternator. if it were the battery, once it was jumped, the volt meter would hold steady where it normally is, this is because the battery is only used to get the innitial power to the starter to turn the engine over, and of course little things like remote wires and stuff like that, but as far as the engine goes, once its started it runs off the alternator not the battery, also before you go buy a new alternator, check all your connections, and clean any corrosion/dirt/ and watever alse aint supposed to be there, iv had that problem b 4, some people would suggest putting... anyone know what that grease is called for electrical connections? anyways, some people would say put that on there, personally iv never seen where it made a difference.