Pearce wrote that he plans to "push for an Arizona bill that would refuse to accept or issue a birth certificate that recognizes citizenship to those born to illegal aliens, unless one parent is a citizen," in an email obtained by Phoenix CBS affiliate KPHO.
That one won't work. I mean if someone is born here, it's a matter of record if they are or not -- and that's all it is.
As to whether they are citizens or not, being born on U.S. soil, that's a legal matter for the country that the states can't affect. To pursue that matter, it will take legislators in Congress to do something about it.
It's one thing to enforce the existing laws about illegal immigrants and also to make sure they are legal (like Arizona in checking on an individual's status), but I don't see an individual state declaring that a baby born in the state is not a citizen -- making it past the first court challenge ... :-)
Take your ignorance elsewhere
They already have. These children are no more citizens of the US than the children of foreign diplomats who happen to be born here. The law is quite clear on the matter.