Even libertarians—at least those who value the Constitution—understand the concept of natoinal sovereignty, and that you don't have a nation if you can't control your borders...
Libertarians tend to be pro-immigrant and pro-open borders, and also more tolerant of gays, porn, and drugs.
The New York Sun was (is?) a libertarian paper and one of the editors threw the Fabiani Society into shock one evening by saying they were pro-immigrant.
They always stress that they are accepting of all views except those curtailing liberty. Hard to hold a party together when that’s your credo but you kind of have to be that way otherwise what’s the point.