Maybe Kirk's not on the Enterprise. Couldn't that be one of the domes in the space station/dockyard we saw in the last movie?
The interior detail seems to be the same or close to the same as what we've already seen of (non-Engineering level) Enterprise corridors, etc.; notice also how the passageway visible behind Kirk seems to bend to the left, such as you'd expect to see in corridors nearer the edge of the saucer. I'm thinking maybe the dome aft, just above the impulse engines, seems a likely spot.