Okay, I give up: What are you expecting to find upon doing that? Most libertarians I know are in favor of free movement of labor and open immigration in general. The current Libertarian Party Platform includes this bit:
"Political freedom and escape from tyranny demand that individuals not be unreasonably constrained by government in the crossing of political boundaries. Economic freedom demands the unrestricted movement of human as well as financial capital across national borders."
(source: http://www.lp.org/platform )
Are you trying to imply that libertarians are inconsistent? There are plenty of libertarians who believe in open borders, Bryan Caplan being one prime example.[1][2] On the other hand, it is also perfectly self-consistent to believe that citizens of a country are entitled to liberties which are not guaranteed to foreigners.
[1] http://openborders.info/bryan-caplan/
[2] http://www.econtalk.org/archives/2010/10/caplan_on_immig.htm...
I self-identify as a libertarian (with qualifications, if you want details). If you try talking to me about free movement of labor, I think you'll find that I advocate it fully.
Just about every self-professed libertarian I know (and I know a lot) support total freedom of movement of labor. Many of them actually oppose the very idea of nation-states and national borders in general.
On the theoretical side it goes back to the whole Trotskyism/Stalinism debate.