Which Jesus are we talking about?

The consensus among serious historians is that Jesus did exist so I wont talk about the mythical theory, but apart from some very few and vague facts like "he was a disciple of John the baptist", "he was an apocalyptic preacher" and "he was crucified by the romans", nothing about him can be asserted with certainty (and even the 3 facts cited here may be discussed).

Each book of the new testament portrays a different dude, sometimes progressive compared to his contemporary society on some issues, but often very religiously radical.

If you switch the question to "was the early community of Christians anarchist" (talking about "the Church" at this point is anachronistic), the answer is no. There is definitely a hierarchy, as seen when Paul must see Peter and then James in Jerusalem (at this time James the brother of Jesus is clearly the boss). On the other hand, the early communities seemed to have lived by sharing all their ressources, so you can argue it was some kind of communism, but again if you read Paul, he states that Christians must respect the hierarchy and inequalities of their society, not try to change them. They may all be equal in the Kingdom to come, but this kingdom is still a theocracy, under the authority of God, Jesus, and the disciples ruling on their sides...