A SAAB 340 FLC HAD AN NMAC IN THE TFC PATTERN AT ILE.

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KILLEEN HAS A FLT SCHOOL; AND ALSO IS A STOP FOR SCHEDULED ACRS. IT IS AN UNCTLED FIELD WITH UNICOM AND AN E TFC PATTERN FOR BOTH RWY 1 AND RWY 19 BECAUSE OF MIL TFC TO THE W. IT ALSO HAS A SHORT RWY WITH DISPLACED THRESHOLD. ON A FLT FROM DFW TO ILE; I WAS INSTRUCTOR PLT GIVING IOE INSTRUCTION TO A NEW FO. THERE WAS TOUCH-AND-GO TFC AT THE FIELD. STUDENT HAD TROUBLE LOCATING THE FIELD; AND GOT US INTO A POTENTIAL CONFLICT WITH TFC ON DOWNWIND. TO AVOID THE CESSNA; WE HAD TO BREAK OFF AND OVERFLY APCH END TO CIRCLE IN FROM THE W. ON STUDENT'S APCH; WE WERE HIGH AND FAST RESULTING IN EXCESSIVE FLOAT. PAST THE TOUCHDOWN ZONE AND STILL AIRBORNE; I CALLED FOR GAR. AS WE CLBED OUT; STUDENT COULD NOT LOCATE PREVIOUS TOUCH-AND-GO TFC ON THAT SIDE. I SAW THE CESSNA IN A CONFLICT POS TO OUR R; SO WE INITIATED A CLBING L TURN TO AVOID. THAT PUT US IN A L TFC PATTERN FOR RWY 1. THIRD APCH WAS SUCCESSFUL. IN MY OPINION; SCHEDULED CARRIERS HAVE NO BUSINESS GOING INTO AN UNCTLED ARPT WITH A SHORT RWY; HVY CIVILIAN TRAINING IN LOW SPD ACFT ON ONE SIDE AND MIL ACFT ACTIVITY ON THE OTHER.