America believes that all men are endowed by their Creator with certain unalienable Rights, as long as they're a couple of generations removed from immigrants and #BackTheBlue.

Your article talks about illegal aliens. By definition they are present in the US, or they wouldn't be illegal or aliens.

The OP asked if non-citizens outside the US have constitutional rights. The answer is no.

Unless you're declared an enemy combatant, or terrorist, whatever those things mean. Cf: everybody tortured or just waiting for disposition at Guantanamo since 2002. Oh and that's for citizens too.

See sec 501 - https://www.aclu.org/other/aclu-fact-sheet-patriot-act-ii

US Citizens have rights everywhere in the world, and everyone has rights when on US soil. People who are neither US citizens not in US soil have no rights under the constitution.