You left out a clause. They not only need to be born here but they also need to be "subject to the jurisdiction of". Now we have repeatedly argued in this forum about what that particular clause means so I am not going to engage in that discussion again but the bottom line is that it will mean whatever the Congress and the Courts decide it means. The Constitution gives solely to Congress the power to establish our immigration policy. The Constitution also gives to Congress the power to limit the jurisdiction of the Courts including the Supreme Court. It seems to me that if Congress has enough desire, they can limit birthright citizenship with action that falls short of a Constitutional Amendment.
"and under the jurdisdiction thereof"
I don't believe it takes an Amendment to get rid of the illegals-born-into-citizenship problem. See, the 14th also contains the phrase "and subject to the jurisdiction thereof", something that could be established does not apply to those who criminally invade our country (and the spawn thereof).
and subject to the jurisdiction thereof....see post #147.