MISREAD PUB. THE FLC REVIEWED THE SID; BUT POORLY. THE DEP CTLR; AFTER SOME STRUGGLE; GOT THEM ON COURSE.

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PRIOR TO FLT; CREW BRIEFED NEW MIA 6 DEP SID (USED FOR THE FIRST TIME). BOTH PLTS INADVERTENTLY DIALED MIA VOR AS DEP NAVAID (USED ON PREDESSOR SID) INSTEAD OF PHK VOR AS DEPICTED. OMEGAS ALSO DEPICTED FIRST LEG AS MIA TO HEDLEY; REINFORCING MISTAKE. ON CLBOUT; WE WERE CLRED TO HDG 340 DEGS TO INTERCEPT HEDLY TRANSITION. BOTH VORS AND OMEGA APPEARED TO INDICATE WE WERE 'RIGHT ON' COURSE ALTHOUGH MINOR DEVS FOR RAPIDLY BUILDING CUMULUS IN THE AREA WERE REQUIRED AND NOTED TO ATC AFTER HIS FIRST QUERY AS TO OUR CURRENT HDG. A SECOND QUERY FROM ATC GOT US REVIEWING THE SID WHICH REVEALED OUR MISTAKE; BUT NOT IN TIME TO PREVENT A HARSH CALL FROM DEP ALTERING OUR COURSE APPROX 60 DEGS AND ADMONISHING US NOT TO DEVIATE WITHOUT INFORMING THEM. NO CLOSE CALLS WERE NOTED AND FE AND CAPT CALCULATED WE WERE NOT MORE THAN 2-3 MI OFF COURSE. HOWEVER; POTENTIAL FOR HAZARDS WAS CERTAINLY PRESENT. CLRLY; OUR PREFLT REVIEW OF THE NEW SID WAS INADEQUATE AND WE ASSUMED TOO MUCH REMAINED THE SAME. CLOSER REVIEW OF ALL REVISIONS IS NOW A HIGH PRIORITY WITH ME.