Citizenship to children born in the US to illegal aliens?

QUOTE:
LOS ANGELES — Birthright citizenship is the right in which babies born in the United States, even to parents in the country illegally, automatically become American citizens.

Critics call them anchor babies, and say the laws should be changed to prevent automatic citizenship that could, in the end, reward illegal immigrants.

"By granting the child citizenship, that child then is able, down the road, as he becomes an adult, to legally make the parents citizens of this country as well," said Rep. Nathan Deal, R-Ga. Now, a bill sponsored by Deal is gaining support in Congress. It would deny automatic citizenship to children born to undocumented immigrants.
END QUOTE

So, what do you think? I don't have much of an opinion, (can you believe it?) I'm just wary of changing what the Constitution says.