The fourth amendment has been interpreted by SCOTUS in such a way that certain things are "reasonable" near the border that would not be further away from it.

The fourth amendment has been interpreted by SCOTUS in such a way that certain things are "reasonable" near the border that would not be further away from it. https://en.wikipedia.org/wiki/United_States_v._Martinez-Fuerte https://en.wikipedia.org/wiki/United_States_v._Martinez-Fuer... SCOTUS is, for good and ill, the last word on what's Constitutional, until it changes its mind.