Your logic is frightening. By your reasoning, our war against Nazi Germany was not a war against facism because not all Americans supported that war. Likewise, the Crusades were not religious wars because not all Christians supported them. I think you will be hard-pressed to find anyone who does not think the Crusades were religious wars. The mohammedans certainly view their conflict against the west as a religius war.
Our war, as you say, was against Nazi GERMANY, a sovereign state, with a government.