If you're getting angry or annoyed by negative people aren't you being negative?

In that instance I suppose you are.
Pop has this great saying and he lives by it:
"You can learn something from everyone you meet—
even if it’s only whom to avoid." 😄

If you react to them. But if you feel the emotion, regulate and manage it, and handle the situation appropriately, I'd say not.

To degree yes, but if they are being bullheaded, intentionally or unintentionally, then there is no harm in saying the ugly truth. The truth may not be what person wants to hear, or admit, but truth is supposed to help us grow.

Ultimately your mood is your responsibility.

Just surround yourself with positive people.

Nah...just filtering the vibes I allow into my hoola- hoop.

In essence, yes.