I would argue that the possession of a Mexican Consular card makes them effectively agents of Mexico, and not under American jurisdiction. “Invaders” may be a harsh term for most contexts, because it conveys a sense of violence, occupation and plunder. But in terms of the legitimacy of illegal immigration vis a vis the Mexican government, it is accurate. More the most part, these people aren’t fleeing their government; they are acting with the active support of their government. They do not intend to become Americans, but to change America’s laws and customs to suit their demands. And, inasmuch as most either receive taxpayer-funded benefits or send money home, and the Mexican government now relies on such relief, it may even accurately be said they do seek to plunder.
Bingo! When I immigrated legally in 1966 i received a Green Card from the Immigration Office upon my arrival at Fort Dix after our plane landed when my husband was transferred from his duty station in Germany back to the states. I sure did not get my visa from the German Embassy, but from the American Embassy in Munich