So far, it's been an interesting mix. For example, I would say the concepts I've covered in 'hard skills', such as economics, statistics, budgeting, and performance management one could apply broadly. While my public management class focuses on issues with the U.S. government, to quote my professor in a lecture responding to a student with the same concern, "The U.S. system of governance, of public and private collaboration, is now so tangled and confusing, that if you do well in this class, you can do well anywhere." I would say that motto applies to most Fels classes (though there are honestly dozens more of them out there that I have not taken), that while the examples are generally about the U.S., the professors make sure the lessons gleamed are broad and/or difficult enough in nature to be educational for domestic and international students.
A large portion of my fellow full-time class (I'd guess about a third) are international students, so I will confer with them on this matter also and follow up for you.
As to the doctoral question, while I have several friends who are also working on a law degree, I don't know anyone planning to get a doctoral degree.