Aliens have rights here as "persons," as opposed to the more strictly defined "citizens."
The term "persons" was used to extend certain rights to slaves (who came here subject to our jurisdiction) and the descendents thereof. A national of another nation is legally an extension of that nation and not a discrete "person" in this context. A nation that treats a citizen of another nation as a discrete entity and not as an extension of that nation is in breach of the other nation's sovereignty.