Sorry Darlin'. It doesn't work that way.
Don't get me wrong. If it were left up too me, we'd built a 40 fence and catapult every illegal we caught back over it, toot sweet!
But the Constitution is based on common law where everyone has basic, unalienable rights regardless of their nationality.
Make me Brigadier Infantry General, Supreme Head Imperial Tyrant (B.I.G.S.H.I.T. for short) and it would would that way within about a week. ;^)
Forgive me for intruding on your point, Ma'am, but were you aware that all aliens were denied the right to petition or participate in the Federal Court system until after the 1940's? I'd argue that neither the Constitution nor "common law" offers any such right of writ, but rather the notion that "anyone can sue" is one bestowed upon us by the U.S. Code (see my post above), a product of Federal legislation created by cretins in Congress.
As always, it's my pleasure to be,
Most Respectfully,
~dt~