The irony here is that American users are so used to being endlessly surveiled without consequence that they are genuinely shocked that the rest of the world refuses to put up with this bullshit. This is completely normal to them.
The GDPR is just another step in a global fight by people all over the world to regain their data sovereignty and protect themselves from endless surveillance. The momentum at the international level is very clearly for data sovereignty. Russia and many Asian countries are following closely behind. And while everybody was freaking out about the GDPR nobody seemed to notice that China passed even stricter online privacy laws [1] earlier this month. Singapore [3] and Malaysia [4] are up to speed and even Thailand [2] will likely soon require minimum standards. (Edited to add more links.)
The end result is like so many other things: American companies will end up blocking everybody but American users who they know they can exploit without consequence. American users will celebrate their exploitation as freedom from Big Government. Everybody else will move on and just shake their heads.
[1] https://www.csis.org/analysis/new-china-data-privacy-standar...
[2] https://www.bangkokpost.com/business/news/1455534/new-data-l...
[3] https://www.pdpc.gov.sg/Legislation-and-Guidelines/Personal-...