We didn’t call World War II the War Against V-2s, or the War Against Banzai attacks, nor did we call any of the actions of the Cold War the War Against Mig-27s.
No, it was the war against the Axis, the war against communism, etc.
Terrorism is merely a weapon. The war is with Islam. Don’t forget it. And don’t maintain a defeatist's political correctness. The war is against Islam, period.