"The clear consensus is that Jesus of Nazareth lived. There is even general agreement about what the disciples believed at his death and the road to Christology where Jesus becomes God."
"No one believes that Jesus of Nazareth acted the way he does in the gospels that were canonized." -
No, no and no.
Historians have no evidence of a historic Jesus dating from the early first century, even though many contemporary writers documented the era in great detail. Philo of Alexandria, for example, wrote in depth about early first-century Palestine, naming other self-proclaimed messiahs, yet never once mentioning a man named Jesus, Yeshua or whatever. Many other contemporary writers covered that era, yet there is not a single mention of any existence, deeds, or words of a man named Jesus or Ismael or PePe or Juan, Yeshua.
Timothy Freke and Peter Gandy, in their book The Jesus Mysteries, explain how the myth and legend of Jesus could easily have arisen without a historical founder. The Jesus story was pressed from the same template as other mythical savior-gods who were killed and resurrected, such as Osiris, Dionysus, Mithra, and Attis.
The only think I could think of is Tacitus and Josephus. Tacitus was hardly a contemporary source. He wasn't even born at the time that Jesus supposedly lived. Tacitus is widely known in apologist circles as the first pagan reference to christ or christianity. Early church fathers, however, curiously did NOT save all of Tacitus' writings.
Then, there is the "paragraph" that currently appears in The Antiquities of the Jews, written by Josephus around 95 C.E. The passage has been shown conclusively to be a forgery, and even conservative scholars admit it has been tampered with. But even were it historical, it dates from more than six decades after the supposed death of Jesus.
If this is the strongest and earliest extra-biblical evidence for the historical Jesus, then the scholarship is on the shakiest grounds.
If Jesus, Yeshua, Ismael or PePe, were truly important to history, then Historians should have told us something about him. Yet, they are completely silent about the supposed miracles and deeds of Jesus, Yeshua, Ismael or PePe. If Jesus had truly been the fulfillment of Jewish prophecy, then Josephus would have been the exact person to confirm it.
And this is the "most important" historical evidence for Jesus.
Respectfully,
Ismael