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.
pushy - Acting in a way that is overly eager to advance one’s own interests or opinions, often disregarding others' comfort or boundaries.

The saleswoman was so pushy that I had to walk out of the store because she wouldn’t stop trying to sell me things I didn’t need.