B767-400ER FLT CREW MISIDENTS RWY OF INTENDED LNDG AT MCO. TWR RECOGNIZES THE ERROR AND RECLRS THEM TO LAND ON RWY TO WHICH THEY WERE ALIGNED.

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ON VECTOR TO FAF RWY 35R AT MCO WE SIGHTED ARPT AND WERE CLRED VISUAL APCH TO RWY 35R WITH ANOTHER ACFT IN SIGHT XING OUR PATH TO THE INSIDE RWY. I SOMETIMES HAVE TROUBLE AT MCO ON VISUAL APCHS SINCE RWYS 17L; 35R IS WAY E OF THE TERMINAL AREA. FOR THAT REASON AFTER I THINK I'VE IDENTED RWY I REFER TO THE FMC LINEUP AND ILS INFO TO CONFIRM MY POS. ANYWAY AFTER A FEW SECONDS TWR OFFERED US RWY 35L AND I ACCEPTED. I LOOKED AT THE OTHER ACFT (I THOUGHT WAS GOING THERE) AND THE FMS TO SEE WERE DISPLACED TO THE L OF THE FMC LINE. I ROLLED OUT AND ASKED THE FO TO ENTER THE NEW RWY. ABOUT THIS TIME I WAS THINKING OUR COMPANY'S MINIMUM REQUIREMENT FOR A VISUAL IS BOTH PLTS POSITIVELY IDENTING THE RWY. I FIGURED I WAS LINING UP ON THE L W SIDE AND STARTED A CORRECTION. APPARENTLY THE OTHER ACFT WAS GOING TO THE W SIDE (NOT THE INSIDE) AND THE FO HAD ALREADY INPUT THE FMS CHANGE. NOW TWR RECLRED ME TO RWY 35R AND I LANDED UNEVENTFULLY. AS FAR AS I KNOW; NO CONFLICT; NO BIG DEAL; BUT IT COULD HAVE BEEN. LESSONS? 17000+ HRS AND IT'S STILL A GOOD IDEA TO USE ALL AVAILABLE INFO AND FOLLOW COMPANY POLICIES!