"HR 140 Bill to End Anchor Baby Citizenship in the US"
Even if by some slim chance this made it through both houses of Congress and gained the president's signature, it would be immediately challenged in the courts.
So... it will ultimately become the Supreme Court's decision as to whether Congress has the Constitutional authority to define the intent of the Fourteenth Amendment -- or not.
I'm going out on a limb and predict that even a "conservative Court" may be unwilling to set aside the precedent of 150 years (that being that anyone born on U.S. soil is a U.S. citizen). Stare decisis and all that.
So, the only way to get this changed once and for all is to change the language of the Fourteenth Amendment. This will never happen with a "divided Congress". Such an amendment can only come from an Article V Convention of the States...