What is happening to us? I thought that "Judaisms" was bad enough, but now are certain scholars moving in the direction of deconstructing Judaism so that it will not exist at all in the Second Temple period? And/or are they really trying to argue that Jesus cannot have been Jewish?!
In my opinion, this is either nonsense to try to say something original (and perhaps sell more books and confuse the public who are finally beginning to hear that Jesus was Jewish and not a Christian!) or nomenclature gone wild (thanks to post-modernity which lately has gripped our imaginations).
Whether Jesus was a Galilean or a Judean can be an interesting erudite discussion, but it means nothing in regard to whether or not Jesus was Jewish by our conventional definition of that term. Like his brothers and sister Jews who lived in the south, Jesus was a Torah-observant, Temple-oriented, apocalyptic teacher who felt very strongly that God's covenantal promises would be fulfilled in Israel. He kept Sabbath, celebrated the festivals, was kosher, and worshiped Yahweh.
I think that it is time for us to face up to Jesus' Jewishness, and ask ourselves why the some in the academy (which many of us are a part of) continue to want to deny, ignore or get around this.