Just as a note, people wrote about Alexander the Great almost a thousand years after everyone who could have known him died. The NT was written less than 30 years after Jesus left the picture.
What? I'm pretty sure that our earliest available historical records and other artifacts of Alexander the Great are far closer to his actual lifespan than a thousand years. Heck, I'm pretty sure there are some from when he was still alive. Yeah, people were writing about him well after that, but their writings were based on and can be traced back to the prior, original accounts, just like those who write about Jesus today, almost 2000 years after the time he was supposed to have been alive, would base their writings primarily if not entirely off of the New Testament.
