I also think people grossly exaggerate US global hegemony.
It's at best a two continental hegemony with influence in a few others with almost no influence in certain areas:
Europe and North America are firmly in the hands of US hegemony that is certain.
Parts of East Asia, Japan, Korea, etc.
A small chunk of the Middle East.
North Africa, to an extent.
Even in South America, the "Monroe doctrine" is over, as Secretary of State Kerry declared. You have countries that are outright hostile to the US (Venezuela), to countries that have taken direct policy to be anti-american, such as Bolivia, to countries that happily engage with US geopolitical rivals such as Lula's Brazil.
Most of Africa is a combination of French post-colonial hangover, Chinese dominance or corporatism free for all. Most of Asia is a combination of Chinese generated rump states, none aligned countries or India. Then you have the Russian aligned former CCCP 'stans'.
For a so called Global hegemony, it's influence basically extends to the Anglosphere, Europe, some parts of Asia, some parts of North Africa and some middle eastern dictatorships.
From a total population perspective, Less than 1.5 billion, or about 1/5th of the world's population actually fall under some form of US hegemony.