Do we reward the children of criminals? I think not.
Nice attempt at the nazi reference but it won't fly.
The child won't be faulted for anything, it will still be a legal citizen of the parents country.
The U.S. is one of the few in the world that creates an anchor baby simply by location of birth. It's an error that needs to be fixed.
As to whether or not we "reward" the children of criminals, I would argue that banning abortions in ALL cases (including rape) rewards the child of the rapist by giving him the right to life, which he is most definitely entitled to. As we know, there are many who think pregnancies resulting from rape are "less valid" than others.
I think you're right in arguing that we should prevent illegals from giving birth in the USA; however, if a child is born here, I would argue that he deserves the chance to stay.