I looked up "how is Jesus our mediator" on Gotquestions.org and in part they said that Jesus was the mediator "between God and people." I liked that point, between God and people, not between God and just the anointed.
Then it said, "The new covenant mediated or presented through Jesus offers this forgiveness of sins and presents us as just and right before God—something no person could ever earn through works. It is a gift of God by grace through faith in Jesus Christ".
How simple and plain they put it. I never did like the point the borg would make that Jesus was never our mediator. It never made sense to me. But in a few paragraphs through gotquestions.org it does. Go figure.