Okay, I can understand what you're saying now. So what do you think we should call them, then?
Who? The Saudis? Fundamentalist Muslims?
Personally, and this opinion is shared by many scholars as well, I accept the use of the word Salafi, if it refers to certain principles in the practice of religion.
One thing that drives these Salafis and shias to each others throats is that the Salafis consider it absolutely prohibited to pray to anyone else but Allah. To pray to the dead, even if to Muhammad himself, is absolutely prohibited. While some shias regularly pray "through" Ali. And say things like "ya Ali" (o, Ali) calling for his help. This is considered shirk.
Exactly what amount of it or exactly what part of it is acceptable and what is shirk is what people don't agree on.
Shias are one extreme end - almost anything is allowed (regarding this^)
What they call "sunnis" (they sometimes use it as a very general term, as if all sunnis were the same) supposedly do the same. But since there are different schools and different peoples it is very difficult to point a specific group that accepts a specific thing. Some sunnis consider it acceptable, others don't.
Some sunnis consider praying "through" Muhammad okay, others don't.
Salafis are the other extreme end. All those things are prohibited. Only pray to Allah. Salafis are Sunnis.
A major difference from a religious point of view, but is definitely not the reason for the cold War. It's what they use to incite this mutual hatred.