There are some situations in which ignoring them drives them c-r-a-z-y. Some of those idiots just want attention, and it's fun to keep it from them.
In other cases, if they're yelling at me, I give them the "I can't hear what you're saying" thing and look away. They leave unfulfilled.
If you react to them, they get what they want.
It's usually the dogs that don't bark that are the most dangerous.