B737-900 CREW WAS UNABLE TO EXIT RWY 19L AT LAS AFTER BEING ASSIGNED A TURNOFF THAT WAS BEHIND THEM.

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WE WERE ASSIGNED RWY 19L. WE THEN REVIEWED THE RWY 19L APCH INFO IN MORE DETAIL; RESET THE FMC; DISCUSSED RWY LENGTH; LIGHTING AND TURNOFF EXPECTATIONS. SINCE OUR NEWLY ASSIGNED RWY WAS SOMEWHAT SHORTER WE ELECTED TO SET AUTOBRAKES TO #2. THE VISUAL APCH TO RWY 19L WAS UNEVENTFUL; I SLOWED; CONFIGURED; AND WE WERE STABILIZED ON THE PAPI ABOVE 1000 FT AGL. A NORMAL TOUCHDOWN; IN THE TOUCHDOWN ZONE; OCCURRED MODERATE BRAKING WAS INITIATED BY THE AUTOBRAKE SYS WITH NORMAL DEPLOYMENT OF SPOILERS AND REVERSERS. DECELERATION; CONSIDERING OUR HIGH GROSS WT; TARGET SPD; DENSITY ALT APPEARED NORMAL. AS THE ACFT SLOWED; LAS TWR REQUESTED THAT WE 'TURN L ON TXWY W; NEXT AVAILABLE TXWY; CONTACT GND.' UPON HEARING THAT; I GLANCED TO MY L AND SAW SIGNAGE INDICATING WE WERE AT TXWY B. NOW; THE CTLR CERTAINLY WOULDN'T ISSUE A CLRNC TO TURN OFF ON A TXWY THAT WAS BEHIND US; SO LOGIC HAS IT THAT TXWY W WOULD BE SOMEWHAT BEYOND TXWY B. NOT TRUSTING MY MEMORY TO SUCH AN IMPORTANT DETAIL; I GLANCED AT MY LAS ARPT CHART TO REFRESH MYSELF ON HOW MUCH FARTHER DOWN TXWY W WAS; AND LO AND BEHOLD IT WAS; IN FACT; BEHIND US. I VERBALIZED TO MY FO; SHARING MY PAIN; 'WE'VE MISSED TXWY W; LET'S JUST ROLL TO THE END.' HE CONCURRED. I SAW THE END OF RWY 19L APCHING. AS WE NEARED RWY 25R INTXN WE VISUALLY CHKED FOR TFC. WE OBSERVED AN ACFT AT THE FAR END OF RWY 25R; SENSING NO MOMENT; SEEING NO CONFLICT; AND HAVING NO RESTR ON NOT TO CROSS RWY 25R WE CONTINUED TO EXPEDITE TO THE END OF RWY 19L AT A NORMAL TAXI SPD; PLANNING TO NOW TURN OFF AT TXWY D. IN THE VICINITY OF RWY 25R/19L INTXN; TWR REQUESTED US TO 'MAKE A 180 DEG TURN AT THE END AND HOLD SHORT OF RWY 25R ON RWY 19;' WHICH WE DID. AT NO TIME DID WE OBSERVE A TFC CONFLICT. ONCE CLRED; WE HAD AN UNEVENTFUL TAXI TO THE GATE. UPON ARR; A REQUEST WAS MADE TO HAVE A FLC MEMBER CALL THE TWR. IN MY CONVERSATION WITH THE LAS TWR SUPVR; HE ASSERTIVELY TOOK EXCEPTION TO OUR OP STATING WE HAD ACTED INAPPROPRIATELY; DELAYED ON THE RWY WE HAD BEEN CLRED TO LAND ON; WE ROLLED TO THE END AND THEREBY CAUSED A LOSS OF SEPARATION WITH AN ACFT DEPARTING RWY 25R. I ASSURED HIM THAT WHAT WE DID WAS IN THE INTEREST OF SAFETY; IN ACCORDANCE WITH ALL PROCS AND POLICIES AND DONE IN AN EFFORT TO FACILITATE ATC. THE CONVERSATION; WHILE PROFESSIONAL ON THE CTLR'S PART; SEEMED TO ME TO BE SOMEWHAT VAGUE; SKETCHY; AND SLIGHTLY CONFUSING ON EXACTLY WHAT WE HAD DONE WRONG. HE ADVISED ME TO 'CALL BACK LATER AFTER I TALK TO MY SUPVR' TO SEE 'WHAT ACTION WOULD BE TAKEN.' WHEN I CALLED BACK I WAS TOLD I WAS BEING CHARGED WITH A PLTDEV. WE WENT ON TO DISCUSS CONCERNS ABOUT THE INCIDENT SUCH AS PLT/CTLR CONVERSATIONS/TERMINOLOGY; LCL ATC PROCS; STANDARD PROCS/POLICIES; LAHSO VERSUS FULL LENGTH LNDG CLRNCS AND B737-900 OPERATING INFO VERSUS OUR STANDARD B737 FLEET AND THE NEED TO OCCASIONALLY JUST SLOW DOWN.