A couple of simple points.
1) Article 1 Section 8 of the Constitution makes citizenship/naturalization the responsibility of Congress. Period.
2) The 14th Amendment in no way changes Article 1 Section 8, rather it deals with former slaves and their citizenship.
3) After the passage of the Constitution and the 14th Amendment it took an act of Congress in 1924 to give Native Americans birthright American citizenship.
4) So who in their right mind thinks aliens who break our laws in being here get the benefit of American citizenship for their children, when they owe the USA no allegiance for starters, and are in fact citizens of another country?
This is just not that hard.
Bump