Re: Pesky 14th amendment says
I do not see anything like that in the fourteenth amendment. That one, basically, prohibits states from doing what the national government is is not allowed to do with respect to citizens. The discussion in this case is necessarily rooted in the fourth amendment, which speaks of "the people," which rightly has been taken to include non-citizens within the United States. A number of other amendments also do not distinguish citizens from noncitizens. These include all the other amendments that comprise the Bill of Rights.
The fourth amendment, as another poster noted, does not define "unreasonable searches," which has led to a good deal of litigation over the last two and a quarter centuries and doubtless will continue to do so.