The stone wall in the poem is not the only wall that stands between the speaker and his neighbor. They are quite different in their philosophies, and they do not understand each other's beliefs and feelings.
One way they could bring down this second wall between them would be to listen to each other, to really consider what each has to say. Instead, the speaker and his neighbor each hold on to their own points of view without really listening to the other. The speaker maintains, "Something there is that doesn't love a wall," while his neighbor repeats, "Good fences make good neighbors."
Active listening requires a dialog. Each man could simply say, "Why?" Why do good fences make good neighbors? Why do you think this is true? Why is there something that doesn't love a wall? What would that something be? If they talked to each other rather than at each other, they might begin to understand each other's point of view.
It is easier to respect that which we understand. If the speaker and his neighbor understood and respected each other, there would be no real wall between them, even if they disagreed.