But they shouldn't be American Citizens. We should clear that misconception up also. Congress never intended to grant automatic citizenship to the children of those who were here illegally. The Supreme Court just interpreted a poorly worded paragraph to grant citizenship to the child of any woman who can keep her legs crossed long enough to get over the border.
Congress, in the current Nationality Act, very explicitly granted citizenship to every child born here, regardless of the citizenship of the parents. Congress also went further than the 14th Amendment and the Supreme Court's interpretations of it, and granted citizenship to every child under the age of 5 who is found in the United States if the child's parentage or birth place are unclear.