Atheistic argumentation is a good example of speech that appeals primarily to emotion. It starts with the premise that God doesn’t exist, a premise born of an intense desire not to believe in God. Their “reason” proceeds only upon the acceptance of this first premise.
By your logic, it is not protected speech.
Most atheist material is (1) because it seeks to prove that God does not exist.
To get to (3) it has to be, well, a cartoon or verbal insults with little or no logic.