There were a lot of immigration questions today, and Giuliani didn’t satisfy the hardcore border security first people with his answers. He did try--rather cleverly, I thought--to turn their concern with security against them, arguing that encouraging people to come forward would make it easier to go after those who wanted to remain in the shadows.
Someone asked him about "anchor babies" and he offered the conventional "birthright citizenship" answer, based on something other than a simply "strict construction" of the 14th Amendment. For a stricter construction, you can go here and here.
I would say that his deferral here to a simplistic reading of the Constitution also does him no credit.