As Gorjo stated, the 14th Amendment already disallows children to automatically become US citizens if their parents are not:
All persons born or naturalized in the United States, and subject to the jurisdiction thereof, are citizens of the United States and of the State wherein they reside.
I'm not sure why people, especially many Republicans are asking for an amendment, when this is already the case. The original intent of the 14th was for African Slaves and Native American Indians to become citizens, of which those people fell into the law or jurisdiction of the state. Illegal immigrant adults do not fall into the jurisdiction of the United States because they are not recognized as citizens, have no recognized business or invitation. Consider the situation reversed: If I took a vacation with my wife to Puerto Viarta on a Cruise, while she was pregnant, and she happened to go into labor there, would my child automatically become a Mexican? The idea is simply absurd.
Am I saying that we should round up all these children, along with their parents and throw them in a truck and ship them back to Mexico? Of course not, and unlike the straw man that most Democrats like to create, the vast majority of Conservatives do not want to see this kind of cruelty. We're simply asking for people to be reasonable here.
I'm a home grown American, but I spent 24 months walking the streets and speaking the language as a Christian Missionary in Peru when I was 19-21, about 10 years ago. I saw many poor people who would do just about anything to get to the USA, even marry off their daughter to an American to gain citizenship. However, most of these people never had a chance to do this the legal way because of the strict immigration requirements. My question, then, is: Is it just to simply grant citizenship and all the privileges associated with it to just anyone who walks through our border, simply because they were fortunate enough to have lived next door, while at the same time denying it from someone who wants to come in to the country the right way?
I would prefer that "legal" immigration requirements be greatly loosened, but that illegal immigration be curbed or at least reduced considerably first. I loved the people I associated myself with in Peru and felt bad that they didn't have the chance to be here the right way, unlike many of those who come here south of the border.
If this is a matter of being fair, humane and just to all men, then I would wager that allowing people to come here illegally, forcing them to hide in the shadows, be relegated to the "refuse" jobs of our society, and get paid dirt wages by sly business-men is FAR more inhumane than giving a chance for people to come here the right way and to feel equal to the rest of us. So let's cut the crap and the straw man argument. I want America to have as many immigrants as we can possibly get, but let's not force them into cleaning our hotel rooms, cleaning our toilets, and living off the tax-payer dime in the shadows. Let's give them full, legal citizenship with a real chance of success, but let's do it the right way.