There seems to be a growing movement to use ‘Judaeans’ to translate Ἰουδαῖοι in the New Testament and other ancient writings (e.g. Josephus), influenced particularly to Steve Mason’s key article, ‘Jews, Judaeans, Judaizing, Judaism: problems of categorization in ancient history’, Journal for the Study of Judaism in the Persian, Hellenistic and Roman Period 38 (2007) 457-512. Here’s a fascinating piece by Adele Reinhartz responding to this view and arguing for the continuing use of ‘Jews’—well worth reading.