Considering that it would take a Constitutional amendment to change that part of our citizenship rules, I don't think its happening.
And frankly, the anchor baby thing is something of a myth . . . the baby has to turn 18 before he or she can file for its parents, and then there is still a wait (possibly a long one) for a visa. Its not exactly a quick way to get here. And if the parents have been here illegally, its likely they can't adjust their status, and if they do get deported, can't come back for a long time.
Edit: and whoever it was that was talking out her sense of "entitlement", I call BS. She's 17 years old. She has spent most of her life that she can remember here. She has a 4.0 plus average. She obviously is as bright as heck and worked her behind off.
Every other student at her school who got grades like that (unless they were also illegal) would get loans to go wherever they liked. Indeed, those with much worse grades could get a loan to go wherever would take them. Loans are how America affords college, they may be government money, but for a huge number of people, especially bright kids without much money, they are the only way they are going to a good school.
She doesn't feel "entitled". She just wants to be like everyone else. Everyone who has surrounded her since she was a small kid. Her class mates, many of whom did not work half as hard, will go on to college, and she won't. It if were not for where she was born, she could go to Berkley. She's only 17, keep that in mind. She just wants to have the same chance her classmates do, and the same reward for her efforts. I don't call that "entitlement." Remember again that this is pretty much the only country she knows, and the only culture she knows.
You want to see "entitlement" check out those of her classmates who never applied themselves at school and who now are taking out loans for a degree that they may well never pay back, because they are getting a crappy degree from a crappy school and probably are lazy to the bone.