I stopped reading there. As I understand it, Obama produced an electronic copy of a Certificate of Live Birth, which is apparently different from a Birth Certificate, in spite of the similarity in names.
No he, or someone, produced an electronic image of a Certification of Live Birth. A Certificate is the original birth certificate form on file with the state. If you get a certified copy of that, with raised seal and registar's signature stamp, then you have a copy of the original birth certificate, also known as the "Vault Copy". If all you have is a Certification, with raised seal, etc, you have a document produced when you requested it, from a database containing some of the information from all of the Certificates on file for that state.
Terminology varies a bit from state to state though. The above is for Hawaii. Being nothing than a computer print out, the Certification is much easier to forge than the Certificate. Since it does not contain all the information, and because of that ease of forging, in some cases even US State Department will not accept one as evidence of ordinary citizenship. One such instance is if the birth date, and the date filed (or accepted by the registrar) is more than a year after the date of birth. The Certificate would normally indicate the reason for the late filing, while the certification does not.