While there is no concrete evidence that Albert Pike's 1871 letter to Mazzini was authentic, I think it would be prudent to keep in mind what he allegedly said, because it certainly "rhymes" with what you are alluding to:

"The Third World War must be fomented by taking advantage of the differences caused by the 'agentur' of the 'Illuminati' between the political Zionists and the leaders of Islamic World. The war must be conducted in such a way that Islam (the Moslem Arabic World) and political Zionism (the State of Israel) mutually destroy each other. Meanwhile the other nations, once more divided on this issue will be constrained to fight to the point of complete physical, moral, spiritual and economical exhaustion. We shall unleash the Nihilists and the atheists, and we shall provoke a formidable social cataclysm which in all its horror will show clearly to the nations the effect of absolute atheism, origin of savagery and of the most bloody turmoil."