Except that other scholars (usually non-Christian and thus without bias) say that John was written no earlier than 90 CE and that the earliest gospel was Mark, about 70 CE. Too late for eye-witness accounts in a time when folk were lucky to reach 50 years of age!
References to Jesus in other, supposedly non-Christian, works are either hearsay, and thus not evidence, or obvious frauds.
There is no incontrovertible evidence for anything except the rise of the Christian religion and its political power.
What we have are scraps.
A man named Yeshu'a, an itinerant preacher, possibly from Galilee, caused a disturbance in Jerusalem, at the Temple, during the days leading up to Passover. His central message was that the priests had it all wrong, and that people must learn to live differently -that the Law was made for Man, not Man for the Law. He seemed to think that the end of days was coming soon and that the ewrrors had to be corrected beforeGod judged everyone. Note that Judaic beliefs and practises are more to do with keeping God's law in this life - the afterlife is not a subject they spend much time on. The most common belief is that in the World to Come (ie after the Messiah has come and God has judged the living and the dead) the virtuous will be restored to corporeal life. It's unclear whether he thought himself the Messiah or just a herald. It's also unclear, for obvious reasons, whether he actually believed what he was saying or was a charlatan. Either way, it was no concern of the Romans, who not only practised religious freedom throughout the Empire, but also did not invovle themselves in religious divisions in the provinces. Pilate would have considered it a matter for the priests to deal with.
If, as seems likely, a man called Yeshu'a was crucified around the same time, it would have been for something the Romans didn't like. Banditry or terrorism (or resistance, depending on where you stand). But Yeshua'a was hardly an uncommon name, and there is no real proof that the itinerant preacher and the crucified felon were the same man.
Paul, on the other hand, was clearly a charlatan. He took some of Yeshu'as' preaching, a pinch of Stoicism, a simplified version of Greek ideas of the afterlife. wrapped it all up in a Mediterranean vegetation and mystery cult, and probably made quite a bit of money out of it! Meanwhile, Yeshu'as' teaching were picked up by other groups, expanded on, localised and spread. As some of these gained political influence, they adapted their doctrine to suit and suppressed some of the others.