Obviously the references in all the works you've mentioned here (I've read translations Tacitus, Suetonius, Lucian, Pliny and Josephus from that list) are in relation to the followers, not historical references to JC himself. You'll find that by around 60AD 'Christians' were making a nuisance of themselves in Roman terms - monotheistic 'cultists', refuse to acknowledge Roman laws and festivals, etc... These are terms that Rome would see as political - challenge to their authority - not just religious.
I'm sure that you agree that it's quite helpful to see the context behind the Bible. There are a few glaring anomolies, an obvious one being the use of crucifixion as a punishment. I *think* that the Jewish court could condemn for blasphemy, and this would mean stoning. Crucifixion, on the other hand, is specifically a Roman punishment for treason or rebellion, eg crimes against Rome.
What I find amusing about the NT is that we see the Jewish judges pressing the Romans to punish JC. This smells of diversion - the Romans, if they were to crucify someone, would be doing so out of their own self interest and making a very specific statement by doing so. Crucifixion is an ugly way to go - it takes several days usually, and the coupde grace of leg breaking is to put the crucifixee out of their misery through suffocation rather then exposure. I suppose I could go on, including wondering why JC lasted so little time up there, but I'll leave it!!
Now... Who was the target of John and his evangelising ilk? Yup, Romans. Jesus was not preaching to gentiles, he was preaching (assuming he existed, etc...) to the tribes alone. How does John rig things... How does he sell a traitor to Rome, who preached to Jews exclusively, to Romans? Oh yeah, that's it - blame the Jews for his death and whitewash the Roman angle. It seems to have worked!