Should their parents - illegal aliens who intentionally crossed into the United States willfully - be the ones who decide who the Americans are?
By acknowledging their children as Birthright Citizens, that's precisely what we are doing.
Since when do invaders choose the citizenry?
Why the hell should people on vacation (and there are tours specifically to reap this benefit) be entitled to “birthright citizenship” for dropping a young’un on US territory???
Jus solis has been US law since the Founding, and before that it was the common law of England, so it goes back many centuries.
Under common law all persons born "on the soil of the country" (jus solis) are subjects/citizens with two exceptions: children born to soldiers in an invading army, and children born to accredited foreign diplomats.
I suppose a somewhat strained case could be made to classify illegal aliens in group 1, but that doesn't really seem reasonable.
14A states, "All persons born ... in the United States, and subject to the jurisdiction thereof, are citizens of the United States..."
The "subject to the jurisdiction thereof" phrase was not some new formulation, it was simply a reference to the two ancient common law exceptions for jus solis.
I would be perfectly happy to get rid of birthright citizenship for children born to illegal aliens, but doing so will require, I'm afraid, an amendment.