Bambi’s definitely a citizen. But whether he was a citizen because he was born here (which is the only thing that counts in running for president) or because at the age of 18 he had the option of chosing to be a US citizen because he was the child of a US citizen (even though he had lived most of his childhood in Indonesia and was registered as an Indonesian citizen) is another matter. And you will note that Perry said nothing about this.
The issue for holding office is natural born citizen,(for which I believe Obama does not qualify), but I do not know how anyone can state with surety that Barry is not himself an undocumented worker.