Arizona just so happens to be one of those states and they've added an interesting twist. If for whatever reason besides being a suspected Muslim born in Kenya you happen to not have the requisite long form, you just need to produce your choice of 2 of the following documents in its place: (emphasis mine)
(a) EARLY BAPTISMAL OR CIRCUMCISION CERTIFICATE.Yep, that's right, just get your Mohel or Mohelot to provide you with a certificate showing you were clipped and you are halfway there!
(b) HOSPITAL BIRTH RECORD.
(c) POSTPARTUM MEDICAL RECORD FOR THE MOTHER OR CHILD SIGNED BY THE DOCTOR OR MIDWIFE OR THE PERSON WHO DELIVERED OR EXAMINED THE CHILD AFTER BIRTH.
(d) EARLY CENSUS RECORD.
(via Phoenix New Times Blogs)