As a non-citizen outside of the United States, the US Constitution is irrelevant and meaningless.

Where he in the United States, say as an illegal alien, many protections would apply but not all.

As the US has and does engage in extrajudicial activities outside of the US, primarily under the Patriot Act, we could snatch him up anywhere in the world, but of course won't do so because he has too high of a profile.

We have lots of friendly nations running CIA prisons we could find space in for him.