Arguing With Yet Another Rationalist

I have been in a discussion with a rabid Rationalist who insists that there is no historic record of Jesus.  Just for those of you who are unfamiliar with this discredited argument, a few writers over the years have been unaware of the writings of Josephus, Tacitus, Pliny the elder, and the Babylonian Talmud.  In addition, there has recently been discovered an ossuary of James the brother of Jesus.  Since this ossuary specifically mentions Jesus, it seems to be archaeological confirmation of the existence of Jesus. It is notable that Tacitus, Pliny the Elder, and the Babylonian Talmud are all anti Jesus in their tone, and some of the writings of Josephus seem to have been edited to not be negative.

The person who was arguing against the historicity of Jesus seemed to be rather irrational, even threatening to "spit in my face".  I suspect that he is in spiritual turmoil, since such irrational argument is abnormal.  I would like to restate that the philosophical concept of Rationalism starts with using arguments devoid of any proof (based on "self-evident" a priori concepts).The person in question starts with rejecting Jesus, and uses that to prove that there is no Jesus, any evidence to the contrary is rejected.

The same person rejected the existence of St. Joseph of Arimethea.  Again, a historical figure (although some accounts are probably embellished).  I just happens that my family is directly descended from him, and family records establish that.