The Essenes were an apocalyptic Jewish cult. Believed in a universe of good vs. Evil, a coming final battle, and victory to the forces of good.
Very much like the Jesus cult.
Instead of saying the Essenes influenced the Jesus cult, I would say that the Jesus cult and the Essenes were similar products of the religious thought pattern of their time.
A Jewish nation that had been dominated by Rome and it's agents for a few hundred years that was looking for a savior/messiah/general to lead a successful revolution.