The thing is, Jesus seems to have been crafting his own vision of Judaism. He seems pretty clearly to have been trained as a Pharisee, but his theology and practice-- if we can even trust the synoptic gospels, which of all the Christian scripture seem likeliest to bear some vague resemblance to something Jesus might actually have taught or done-- have borrowed heavily from ascetic and perhaps apocalyptic sources like the Essene-type communities, and perhaps even from Greek philosophy a little, as well as containing his own innovations and ideas. So his Judaism that he practiced and taught in his day, if we can guess anything about it from Christian scripture and the few brief stories about Jesus as a renegade student that exist in the Talmud, would not really have resembled Rabbinic Judaism or even necessarily any of the major Jewish sects of his day.
But I think it is safe to say that at heart, it would resemble Rabbinic Judaism-- which encompasses all the major Jewish movements today, and all of mainstream Judaism for the past 1500+ years-- more than it would mainstream Christianity.
While I can easily believe that Jesus might have proclaimed himself the messiah-- tons of guys were running around Israel in those days proclaiming themselves the messiah, it was entirely commonplace-- I find it entirely unlikely that he proclaimed himself either the literal son of God (an idea wholly foreign to Judaism, even to the chaotic mess of sects that embodied Judaism in Jesus' time) or God Himself-- an idea utterly at variance with Judaism to the core. Trinitarianism would have been wholly foreign and at odds with everything Jewish that Jesus would have known, to say nothing of spreading the religion to non-Jews without benefit of even the most basic tokens of conversion, or nullifying the vast majority of the commandments.
If somehow Jesus were to be brought back to life today, I think everything-- Judaism and Christianity-- would look strange and foreign to him. But ultimately, I think he could come to recognize something familiar in Judaism. Christianity? I don't think so. I think once he understood it, he would feel empathy and compassion for the legitimate desires of Christians to live holy lives and reach out for God, and he would be touched that they remembered even a faint and distorted record of his teaching. But I don't think he would approve of being worshipped, nor would he understand, I think, how all these non-Jews could believe that what they were doing had much to do with the religion of the Jewish people.