I know this video. Look closely, and you'll see that it was the First Officer who was the PF for this approach - his hand is on the sidestick from start to finish. I don't think there's an edit - I suspect SFO approach control decided to switch them to an ILS on 28R of their own volition. The Captain as PNF was calling up the procedures for visual approach, then when the reassignment to ILS was given, he throws up his hands (though not aggressively) and puts the keyboard away.
I believe the captain is the PF: Auto-pilot 1 is engaged, he calls configuration commands, and the first officer is handling communication (PNF Duty). The first officer's hand is over the side-stick because he is using the PTT button located on the stick.