My understanding is that this particular issue involved "family reunification" issues. And, like it or not, children born in the U.S. are U.S. citizens. And, like it or not, a parent's immigration status has nothing to do with whether they love their kids or not.
.......And like it or not, entering our country ILLEGALLY is a crime, irrespective of your motives. Greyhound runs routes from Chicago to the Mexican border. Bye bye.
Lots of American citizen kids are raised abroad. My daughter went to kindergarten in Australia for a year.
These children maybe citizens but at least one of their parents has no right to be in America. This leaves their parents with the decision to raise their child in the country where they do have a right to be. Or make arrangements for their child to be raised in America by relatives or others who do have a right to be here. In either case, the child will have the right to come and go across our borders as they chose. The parents don't have this right and because they disrespected our laws they should NEVER be given this right. Just because they had a kid on our soil does not make it the rest of our problem.