Be more specific. How do you see the two? Birthright citizenship confers automatically US citizenship to anyone born on our soil, i.e., jus solis. It matters not whether the parents of the child are illegal aliens, tourists, foreign students, etc. The only exception being the children of accredited diplomats.
Anchor babies is a term referring to the children of illegal aliens. The parents use the amcit children as a way for them to stay here, hence the term anchor baby.