I like your argument, but I am certain (and I bet you are, too) that a law removing citizenship from future anchor babies would be declared unconstitutional in about five seconds (since such a law does not enforce by appropriate legislation Section 1 of XIV but rather repeals that part of XIV).
Congress could not bar women from voting by its power to enforce, by appropriate legislation, Amendment XIX, and I'm quite confident Congress cannot do this, either.
The 1996 law which eliminated anchor babies has been upheld repreatedly.
You are confusing birthright citizenship with the immigration issue.
See the above posts.