Is much of the world really "very anti-American"
per se, or is "America" merely used in that formulation as a rather unfortunate shorthand for saying that one is against certain policies and political tendencies espoused by the current regime?
Because you can be certain that at the same time as launching "anti-American" protests, those same people are likely to be eating American fast food, watching Hollywood movies and US TV shows, buying American brands (or brands with pseudo-American names), and having at least a rudimentary knowledge of English that is likely to be
American English (perceived as a 'global
lingua franca').
Any nation that establishes itself in a defining position within the global arena (whether through rhetoric, popular-cultural hegemony, or physical incursions,
etc.) is likely to be simultaneously embraced and villified... it's the two-edged sword of the old "What have the Romans ever done for us?" scenario in
The Life of Brian.
Specific dislike of policies and regimes for reasons that one can articulate is quite different from a blanket 'hatred' of a nation, which latter bespeaks a hugely over-simplified view of the world (which is nevertheless all too common - it's far easier to rally against a homogenized-yet-illusory
single 'straw enemy' rather than stopping to differentiate those myriad disparate elements that one opposes); an over-simplified view which some might say is shared by the current US administration in its international dealings and pronouncements.