Soft power and American exceptionalism; like apple pie with ice cream, always somehow greater than the sum of the parts. The reality is that our soft power is moderated (mediated?) by the narratives exported by the couple of big media companies that dominate our airwaves (and thoughts.) These narratives have intentionally not, worked to undermine American soft power while promoting the soft power of international organizations like the WHO. Any discussion of soft power that omits the media is hopelessly incomplete. The soft power is being reallocated by our elites, because it was their power to begin with.
We created the WHO and the UN out of an idealism and optimism that derived from an honest belief after WWII that we were the good guys that were going to use our power to spread freedom and democracy. That idealism is what gave us the power. That's why so many popular struggles around the world have used the statue of liberty as a symbol for the society they want to create.