Other countries have already had to deal with the US on this front. If you are a US national you may find it extremely hard to get a bank account in a non-US country, for example; non-US gambling services also have to be very careful about US users (PokerStars et al) https://en.wikipedia.org/wiki/United_States_v._Scheinberg
There are also things like the Magnitsky Act and various other bits of human rights law that allow extremely serious crime and crimes against humanity to be pursued internationally.
The one we'll have to watch out for are Chinese censorship laws going global. There's already some weird side effects of "One China".