Vulcan-Human family problems
Not needed, only serves to give Amanda more presence in the film when she clealy has the very next scene (talking to spock before he goes before the council) .
I think this scene should've stayed in because it made external the internal conflict of Spock through his parents, showing us the audience what each of them represent to Spock--human vs. Vulcan thinking. This we got TOLD later in the movie, but this where we actually SEE it.
The scene also serves the undercurrent of emotion Spock feels for his mother, which culminates in the scene where Kirk says, "You feel nothing! It must not even compute for you! You never loved her"