As much as I would like to see the change happen, it is protected by the 14th amendment.
Not exactly. The 14th Amendment states in relevant part : " All persons born or naturalized in the United States, and subject to the jurisdiction thereof, are citizens of the United States..."
The key phrase here is "and subject to the jurisdiction thereof." People lawfully in the country are subject to its jurisdiction. So are their offspring. An invading army would not be, and their offspring would clearly not be entitled to birthright citizenship.
Where do illegal aliens fit in? Are they more like lawful residents or are they more like an invading army? The Supreme Court has never directly answered the question. U.S. v. Won Kim Ark is widely credited with establishing the principle that presence in the US is all that is required to confer birthright citizenship, but that case turned on the issue of whether the parents could be citizens of another country, not on whether they were in the US legally.
I think it is arguable that Won Kim was wrongly decided. The 14th Amendment, the Constitution's Pandora's Box, was poorly drafted but it seems hard to believe the drafters intended to sanction tourism citizenship. The case itself can be distinguished as illegal immigration was not involved.