What is the difference between a war protester and an anti-war protester?

I know of the anti-war movement of the sixties, and that incorporated the use of war protesters, there fore I would suppose the people protesting against the anti-war movement could be called anti-war protesters. Is this right? If not, where did I go wrong. English isn't my first language, and this is very confusing for me.|||This is a quirk of the English language - like saying "fat chance" which is the same as saying "slim chance". Because the language is living and evolving, the English speakers of the world sometimes break the rules of lexicography, yet it becomes accepted as the norm.|||War Protester and anti-war protester are the same thing. Both refer to people who are against war. The only difference is that a war protester protests against a specific war and anti-war protester protests against any war.|||Both mean the same thing, sort of like flammable and inflammable.