Interesting idea.  I'm reading now about the Dead Sea Scrolls and the Qumran community that produced them.  While there is no certain proof that John the Baptist and Jesus were actual members, there are striking similarities between the Scrolls and the preaching ministry of both that it seems more than likely that Jesus was aware of the Qumran community's opposition to the Temple priestly elites and their Pharisee supporters - which we know from the Gospels Jesus rejected.

I don't think that Jesus ever conceived of a "church" with all the hierarchies that are implied.  But, Jesus did announce a new "kingdom" as depicted in the Beatitudes.  After John's beheading, Jesus embraced the very same memes of "prophet and king" that animated the Qumran community.  Priesthood seems more a creation of several Jesus-movement generations later in Rome and Greece by believers needing to ritualize the kerygma.