Your article does not mention a number of significant sources. Paul's epistles for one. The death of James in 62 for another. In fact it is more difficult to argue that Jesus did not exist than that he did. live.
For once I am going to recommend a Wikipedia article: https://en.wikipedia.org/wiki/Sources_for_the_historicity_of_Jesus
History cannot claim evidence that supports Christian faith, which itself is not based on Jesus' existence. Rather, we accept the basic witness about him of his original followers, and so we are among them.