A320 CREW HAD MULTIPLE TCASII TA'S AND REQUESTED A PATTERN EXTENSION AT TUS.

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FIRST TRIP TO TUS FOR BOTH COCKPIT CREW MEMBERS. WX WAS NOT A FACTOR (DAY VFR). APCHED TUS FROM THE SE OVER SSO. DOWNWIND 8000 FT FOR RWY 11L TUS. RESPONDED TO TUS TWR WE HAD RWY IN SIGHT. TUS TWR CLRED US FOR VISUAL RWY 11L. SEEING THAT WE WERE A LITTLE HIGH; ASKED TWR IF WE COULD EXTEND DOWNWIND. APPROVAL WAS GIVEN; BUT NOT TO EXTEND TOO FAR BECAUSE OF ADDITIONAL INBOUND TFC. TURNING BASE RECEIVED A TCASII TA. WHILE LOOKING FOR TFC CONTINUED TO TURN BASE. SPOTTED TFC (CIVILIAN SINGLE ENG) NO FACTOR. HAVING TURNED FURTHER ON BASE THAN I REALIZED AND LOOKING OVER MY SHOULDER FOR THE RWY I PICKED UP RWY AT DAVIS MONTHAN. THEN RECEIVED ANOTHER TA (TCASII). TFC SPOTTED (CIVILIAN SINGLE ENG) NO FACTOR. WITH ANGLING APCH AND XCHKING EFIS MAP; REALIZED IT WAS NOT TUS RWY 11L. INSTEAD OF MAKING A SHARP R TURN TO LINE UP WITH TUS RWY 11L; I ASKED FOR A L TURN BACK DOWNWIND. MADE VISUAL APCH AND LNDG AT TUS RWY 11L. CONTRIBUTING FACTORS: FIRST TIME TO ARPT; MULTIPLE TA'S AND TUNNEL VISION. ONE POSSIBLE SOLUTION WOULD BE ON INITIAL CHK-IN WITH APCH CTL AND TWR; STATING FIRST TIME TO ARPT. THIS WOULD BE FOR COCKPIT CREWS LNDG AT NEW ARPTS FOR THE FIRST TIME; WHEREBY KEYING CTLRS TO ALLOW A LITTLE MORE SPACING; PREVENTING SLAM DUNKS AND PROVIDING A THIRD SET OF EYES TO FIRST TIMERS.