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Note what parts of the verb construction have to be there, and in what order they come. If we leave aside the meaning, you can take away the 'never'; if you also peel away the passive ('been'), you are left with ' ... would have started', which is perhaps rather more manageable.
We can get rid of the 'been' anyhow: ' ... WW3 would never have started' is fine as a clause, if not as a historical idea. In this case the War itself becomes active, rather than passive ('been started'); we have already considered which country might have been to blame, so that passive is not really necessary.