There is no reason to believe that the Jesus of the NT was at all distant from Judaism. Nor that his talmidim who thought he was moshiach were distant from Judaism. The Jewish opposition to the “minim” doesn’t appear until after the new movement had been taken over by Greek antisemites, and the original Jewish leaders had died or been thrown out. That’s when we get Birchas Haminim.
(PS, to forestall arguments: the “Jewish sinner” whose spirit Onkelos called up is not named. It could be anyone. The “Yeshu Hanotzri” in mesechta Sanhedrin cannot be the Jesus of the NT; their stores are completely different, and he was at least 100 years too early. And “Ben Stodo” was about 100 years too late.)