"No historians of the time mention Jesus. Suetonius (65-135) does not. Pliny the Younger only mentions Christians (Paulists) with no comment of Jesus himself. Tacitus mentions a Jesus, but it is likely that after a century of Christian preaching Tacitus was just reacting to these rumours, or probably talking about one of the many other Messiah's of the time. Josephus, a methodical, accurate and dedicated historian of the time mentions John the Baptist, Herod, Pilate and many aspects of Jewish life but does not mention Jesus. (The
Testimonium Flavianum has been shown to be a third century Christian fraud). He once mentions
a Jesus, but gives no information other than that he is a brother of a James. Jesus was not an unusual name, either. Justus, another Jewish historian who lived in Tiberias (near Kapernaum, a place Jesus frequented) did not mention Jesus nor any of his miracles. It is only in the evidence of later writers, writing about earlier times, that we find a Jesus. What is more surprising (Jesus could simply have been unknown to local historians) is that academics note that the
gospels themselves do not allude to first-hand historical sources, either!"
Jesus Did Not Exist
This is just bad research. The Testimonium Flavianum has not been shown to be a fraud. It has been shown to contain interpolations, but that is different than being a fraud. Really, only three recent books have suggested that the TF is a forgery, and they were not done by scholars.
If you look at what scholars have to say on it, ranging from Bible scholars, to historians, and even Josephus scholars, they agree that the TF was mostly authentic, with later interpolations.
As for the other mention of Jesus, it isn't just in reference to James. We are told that this Jesus was called Christ. As in, others called Jesus Christ, but Josephus himself was not saying he was Christ. So your source is really just doing poor research.
More so, we do have Paul, who was a contemporary of Jesus, who knew and related first hand accounts, and speak of this James, the brother of Jesus, as well. And Paul does talk about an earthly Jesus.
More so, your source seems to ignore the fact that most individuals were only written about after the fact. Even the majority of information we get about the Emperors were written after the fact, by people who never knew those Emperors. We are talking about a culture in which the literacy rate was maybe 3% and oral tradition was the norm.
Not to mention, no one else seems to mention John the Baptist as well, yet he is an accepted historical figure. And then there are the many other religious leaders from that time, who also were said to perform miracles and the like, that also were never mentioned until a long time later. In fact, we have very little information about Palestine at all, or really any Jews from that time. Case in point, out of all of the Pharisees that were living, we have writings from two. One being Paul (who switches to the Jesus movement), and Josephus, who some even debate whether or not he was a Pharisee. My point is that we really have very few writings from that time. And there were many who supposedly performed miracles. No one seems to care about some peasant Jews.
As for the Gospels not relying on first hand accounts. So? Most history is not. In fact, most historians realize that first hand accounts are not always the best. They may give specific insight, but they are also heavily biased, and only tell one side of the story. Not to mention, we are talking about an oral culture, as opposed to a written culture.