So we learn at the end that Sisko’s birth was engineered by the Prophets, right? That he was always destined to be the Emissary because that’s how it had to be, from the nonlinear perspective of the Prophets.
So what if they based him on a man from Earth centuries before (perhaps one of his father’s ancestors), who by some quirk had genuine future-sight and saw forward into the life of Sisko because of their connection established by the Prophets - creating a self-sustaining loop.
Now of course that doesn’t explain why all of the people in Benny’s life are so similar to Sisko’s people (or is it the other way around?), but maybe there’s something there about celestial-temporal archetypes, or Benny is projecting those faces and personalities onto his coworkers because of his strange and exceptional mind.