I get what they were going for and have no problem with the scene in theory, but it had some things going seriously against it. One, as Pauln6 pointed out above, there is no need for the transporter to "pull" people to its pad, transporters on Earth or in orbit could "push" them to wherever they want (Kirk's earlier question of why the Enterprise transporters don't work, necessitating the shuttlepod ride, doesn't really make sense). Two, Kirk taking over the controls is just insufferably dumb. Three, it had probably the worst line readings in the whole movie ("They're forming," "Oh my god," and "Enterprise... what we got back...").
BTW one of Robert Wise's earlier movies set aboard a ship, The Sand Pebbles, has a scene where a man is killed by the machinery while doing an engine repair. It is very important to the story and is well done; there is some blood but nothing too gory. First seeing the movie in my late teens I never thought of it as disturbing, but an aunt who saw it as a child told me that was the one and only thing that she remembered about the movie, it had so frightened her.
BTW one of Robert Wise's earlier movies set aboard a ship, The Sand Pebbles, has a scene where a man is killed by the machinery while doing an engine repair. It is very important to the story and is well done; there is some blood but nothing too gory. First seeing the movie in my late teens I never thought of it as disturbing, but an aunt who saw it as a child told me that was the one and only thing that she remembered about the movie, it had so frightened her.