I think that's a generic photo of an ARCO alternator. As long as you get the ARCO 40112, it will fit your Chrysler 360 without modification aside from tying back the old field wire. I have one on each engine. The website you show states that this alternator is remanufactured. For that price, you can easily find a 40112 that isn't, although I'm not sure that there is much difference between new and remanufactured if ARCO did the remanufacturing.
When you install the new alternator, consider replacing that crusty old wire that runs from the alternator to the starter solenoid with a length of 12-gauge tinned wire and new connectors at each end. You might as well get all the charging power that you new alternator offers.
Bill