Yup, new battery cables, as well as new and quite overkill ground straps all around. I'm fairly certain now that the problem resides with the alternator wiring. In a moment I will upload pictures of the whole thing. I'd like to know if it's even the right alternator for that car, as the problem was there when I bought it. I was even warned by the previous owner that the battery was getting drained from somewhere. He did not know what the problem was and I replaced part after part overlooking the alternator because it tests good.