The terminology is accurate enough, according to the rules of Anglo-American discourse, which defines "the world" as the political class in Washington and London (and whoever happens to agree with them on specific matters). It is common, for example, to read that "the world" fully supported President George W Bush when he ordered the bombing of Afghanistan in 2001. That may be true of "the world", but hardly of the world, as revealed in an international Gallup Poll after the bombing was announced. Global support was slight.
In Latin America, which has some experience with US behavior, support ranged from 2% in Mexico to 16% in Panama, and that support was conditional on the culprits being identified (they still weren't eight months later, the Federal Bureau of Investigation reported), and civilian targets being spared (they were attacked at once). There was an overwhelming preference in the world for diplomatic/judicial measures, rejected out of hand by "the world".
http://www.atimes.com/atimes/Middle_East/JB28Ak02.html