How we cite our quotes: All quotations are from Star Trek VI: The Undiscovered Country.
Quote #4
KIRK: [to Gorkon] Would you and your party care to dine this evening aboard the Enterprise with my officers as guests of the United Federation of Planets?
Okay—it's not much, but it's a start. Although the dinner date between the Federation and Klingon Empire goes worse than a post-election Thanksgiving meal, it shows that Kirk is at least open to patching things up with the Klingons, even if there are still barriers.
Quote #5
UHURA: Did you see the way they ate?
CHEKOV: Terrible table manners.
Even the crew of Enterprise isn't exempt from prejudice against Klingons. As outside observers, we can see that the main issue with dinner was a difference in customs, but the crewmembers aren't necessary able to step outside of themselves and see that.
Quote #6
COLONEL WORF: I wish to note, for the record, that the evidence against my client is entirely circumstantial. I beg the court to consider this when pronouncing its sentence.
Although this isn't explicitly stated in the film, we think that the legal representation of Colonel Worf (supposedly the ancestor of Worf from The Next Generation) changes Kirk's perspective on Klingons. Here's a guy risking his reputation for the sake of a human. Would Kirk do the same for a Klingon?