Rabbinic Exegesis?

No, you dont need a tallit to understand Jesus so take off your kippah. The Talmud is not a reliable source for first century Christianity not even first century Judaism it was mainly finally edited in the end of the second century ad, By that time as those familiar with History know Judaism was already radically recapitulated and substantially transformed. After the year 70ad with the destruction of the Temple Judaism was never the same again it had evolved to adapt to its new social reality and new cultural pressures.