The equivalent is the US threatening to arrest the operators of those venues when they set foot on US soil.
But in any case, this is different, as the US has only declared these activities as illegal in the US. They haven't enacted laws saying you cannot gamble outside the US.
When it comes to antiterrorism stuff, it's a totally different story. If I go to the Middle East and provide money to an organization on the US terrorist list, then yes - I can definitely be prosecuted for it if I enter US jurisdiction. And it goes even further - I don't need to enter their jurisdiction. The US can just have me extradited if there is a treaty.
But in any case, this is different, as the US has only declared these activities as illegal in the US. They haven't enacted laws saying you cannot gamble outside the US.
When it comes to antiterrorism stuff, it's a totally different story. If I go to the Middle East and provide money to an organization on the US terrorist list, then yes - I can definitely be prosecuted for it if I enter US jurisdiction. And it goes even further - I don't need to enter their jurisdiction. The US can just have me extradited if there is a treaty.