The public acts part is the legislative. The records and judicial proceedings are for the courts.
From the first legal treatise after Ratification:
2. Full faith and credit shall be given in each state to the public acts, records, and judicial proceedings of every other state. And congress may by general laws, prescribe the manner in which the same shall be proved, and the effect thereof.
The act of 1 Cong. 2 Sess. c. 11, accordingly declares, that the acts of the legislature of the several states shall be authenticated by having the seal of their respective states affixed thereto; that the records and judicial proceedings of the courts of any state, shall be proved or admitted in any other court within the United States, by attestation of the clerk, and the seal of the court annexed, if there be a seal, together with a certificate of the judge, chief justice, or presiding magistrate, as the case may be, that such attestation is in due form. And records and judicial proceedings so authenticated, shall have such faith in every court within the United States, as they have by law or usage in the courts of the state, from whence they may be taken.
George Tucker, View of the Constitution of the United States / Note D, Miscellaneous Provisions
This 'record' was never signed off by a judge from another State, nor was it entered as evidence in a court of law.
It was a news release, and therefore wouldn't come under the full faith and credit provision.
Federal Judge Henry T. Wingate of the U.S. District Court for the Southern District of Mississippi has had a copy of the long form birth certificate and a Certifed Letter of Verification for it from the Hawaii Registrar submitted by attorneys for the Mississippi Democratic Party Executive Committee in Orly Taitz’s Mississippi ballot challenge lawsuit.
Those exhibits were submitted to Judge Wingate on June 6, 2012.
http://www.scribd.com/doc/96289285
The birth certificate is on page 11 and the Verification Letter is in Page 12
http://www.scribd.com/doc/96289285
Administrative Law Judge Michael Mahili also received a copy of the long form from Obama’s attorney in the Georgia Ballot Challenges: Fararr, Powell Swensson and Weldon v. Obama.