intolerant - Refusing to allow others to do or believe things that you don't agree with.

When people try to dialog with others, and both are intolerant of each others' points of view, it often just degenerates into a shouting match, with neither side listening.
stride - Progress or advancement: A significant step forward in development or improvement; or a long step or pace: A way of walking with long, decisive steps.

The Supreme Court's decision was a signfication stride in the movement towards desegretation.