The Constitution of the United States should--and does--apply to all persons within the United States and/or subject to the United States' rules or interactions with the United States government (subject to limitations specifically ascribed to citizens, such as the right to vote or hold public office).
No one would argue that the US' Constitution is binding on any other government but it absolutely is binding on the actions of the US government, and should be so binding anywhere on the planet because the Constitution forms the basis for the US government's very existence.
No one would argue that the US' Constitution is binding on any other government but it absolutely is binding on the actions of the US government, and should be so binding anywhere on the planet because the Constitution forms the basis for the US government's very existence.