SMA PLT HAS NMAC WITH AN A24 FIGHTER APPARENTLY A PVT ACFT ON APCH TO APA; CO.

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I APCHED APA FROM THE W; MAKING MY ORIGINAL CALL ABOUT 10 MI OUT. I WAS TOLD BY TWR TO 'ENTER L BASE FOR RWY 35R AND RPT XING I25.' AS I PROCEEDED INBOUND I HEARD A 'DOUGLAS' CALL 'CASTLE ROCK' (ABOUT 12 NM S) AND REQUEST A 'LOW PASS AND R BREAK RWY 35R.' THE CTLR SAID 'I HAVE YOUR REQUEST.' A COUPLE OF MINS LATER THE OTHER ACFT IDENTED ITSELF AS A 'DOUGLAS DAUNTLESS' AND REPEATED ITS REQUEST. I DO NOT BELIEVE THE CTLR EVER ACTUALLY CLRED IT FOR ITS LOW PASS. AS I CROSSED THE HWY I RPTED IN AND WAS TOLD MY TFC WAS A CESSNA ON R BASE FOR RWY 35L. IT APPEARED TO ME THAT WE HAD XING BASES FOR RWY 35L AND RWY 35R. I CALLED TFC IN SIGHT AND WAS TOLD TO FOLLOW THAT CESSNA. I CONTINUED MY APCH TO RWY 35R BUT WAS SLOWING UP AS MUCH AS POSSIBLE. AS I LIFTED THE R WING TO TURN FINAL; THERE WAS THE DOUGLAS DAUNTLESS MAKING AN EXTREME R TURN TO AVOID A COLLISION. I INCREASED MY L BANK TO ABOUT 60 DEGS AND ENDED UP ON FINAL FOR RWY 35L. THE CTLR CLRED ME TO LAND RWY 35L. AS I WAS FLARING THE CTLR TOLD ME TO 'FOLLOW THE ACFT ON SHORT FINAL.' I SAID 'I AM THE ACFT ON SHORT FINAL.' MY CONCLUSIONS ABOUT WHAT CAUSED THE NEAR MISS: 1) IF I MADE A MISTAKE IT WAS IN HEARING THE ORIGINAL CALL. WAS THE CTLR PLANNING RWY 35L FOR ME; NOT RWY 35R? 2) THE DAUNTLESS WAS PROBABLY WELL OVER 200 KTS AND WHY REQUEST A LOW PASS ON A HAZY; BUSY DAY? DID HE ACTUALLY GET PERMISSION FOR THAT LOW PASS? 3) THE CTLR SHOULD HAVE SAID NO TO THE 200 KT LOW PASS. THE CTLR APPEARED TO HAVE NO IDEA WHERE I WAS; DESPITE MY SHOWING ALL LIGHTS AND MAKING ALL RADIO CALLS. CORRECTIVE ACTION: THE CTLR NEEDS TO TAKE CTL AND BE SURE OF WHERE ALL ACFT ARE. THE CTLR SHOULD NOT ALLOW GRANDSTANDING BY FAST WARBIRDS WHEN THERE IS A PATTERN FULL OF SLOW PLANES.