The writing and subject matter aside, I am supportive of Jewish efforts to examine Jesus in a Jewish light. I see no reason to vilify Jesus. However, I have issues with the "reclamation" of Jesus glossing over his failings. Because although some hope to reclaim the "Jewish Jesus," I'm not completely sure that we should want him.
It's common among non-believers in Jesus to laud him as some great reformer, great theorist, great teacher. But I don't think he was. We, of course, know very little of Jesus. Historians only agree on his birth, his baptism, and his death. The rest is speculative. Of what is presumed to be known about Jesus, though, doesn't thrill me. Jesus was not a philosopher. Jesus was no Socrates. Jesus didn't use reason to show people the light, Jesus didn't point out distinct problems in society and advocate against them.
Instead Jesus reiterated common axioms. He introduces a firm belief in Hell as a literal and demonic place. He curses those who question him and rallies those who support him. He goes about claiming a messianic status, riding into Jerusalem to the joy of his followers. He is needlessly antagonistic. Near the end of his life, he believes his revolution was to take place. He urges his followers to arm themselves and be prepared to oppose their own family members. He cries that he came not to bring peace, but the sword.
To a Christian, these verses can be read figuratively. To a Christian, Jesus knew of his death and was obviously not thinking of a literal battle. But we're not Christians. How are we to read these verses figuratively? It reads so much more easily as the tale of a failed messiah. A man who claimed favor from God, convinced himself he had his claimed favor, thought his favor would sustain him, but inevitably failed because it was built on a lie or delusion. If we accept the "nice" verses in the Christian New Testament as having historical value, then we also have to look at the bad ones. I don't think Jesus was a bad man. I just won't be a non-believer who praises him as an outstandingly good man. Because, honestly, I think that I'm a better person than Jesus was. I think many, many people are.
I see Christianity positively. It brought people order in chaos. It brought people to God. It brought people away from overt idolatry. However, I don't think this should all be ascribed to the success of a morally virtuous, wise, and observantly Jewish Jesus.