Andrew Napolitano responding to legislative proposals to end birthright citizenship:
No! That would not be a a way around it. There is no way to get around the 14th amendment. These people took an oath to uphold the Constitution whether they agree with it or not! All of it not part of it! The Supreme Court has said you cannot take privileges or benefits away from a child because of a crime committed by the parent. Therefore everybody born here is an American citizen, no matter what their parents' status was at their birth.
That said, it's worth distinguishing between cynical efforts to pass unconstitutional legislation ending birthright citizenship and cynical efforts to pass a new amendment to the Constitution ending birthright citizenship. The latter is the legit way to do it, although that doesn't mean it's a good idea or any more likely to happen.