SF34 FLC ADVISE UNABLE HOLD SHORT OF INTERSECTING RWY AT SPI AS ANOTHER ACFT PASSES THROUGH INTERSECTING RWY.

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ON A VISUAL APCH TO RWY 22; WE WERE CLRED TO LAND. NO TA'S OR LAHSO CLRNC WAS GIVEN. THE FO MADE A NORMAL LNDG IN THE TOUCHDOWN ZONE. WE WERE ASKED TO MAKE A L ON TXWY B; BUT I SAID UNABLE BECAUSE WE WERE STILL MOVING TOO FAST. I OFFERED THEM A 180 DEG TURN BACK TO TXWY B IF THEY'D ALLOW IT. TWR APPROVED THE 180 DEG TURN; BUT SAID TO DO IT SHORT OF RWY 31. WE WERE STILL DECELERATING DURING THIS ATC CLRNC AND HAD ALREADY PASSED THE HOLD SHORT LINE FOR RWY 31; WHICH WAS JUST PAST TXWY B. THE AIRPLANE CAME TO A REST BTWN THE HOLD SHORT LINE FOR RWY 31 AND THE RWY. IT WAS THEN I SAW A SMALL BIZJET ROLLING OUT ON RWY 31 RIGHT IN FRONT OF US. TWR NEVER TOLD US ABOUT THE TFC. ONCE AT THE GATE; I CALLED THE TWR TO EXPRESS MY DISBELIEF OF THE OCCURRENCE. I ASKED WHY THEY LET THAT SIT DEVELOP. THEY TOLD ME THAT I DID EVERYTHING FINE AND SAID I HELD SHORT OF RWY 31; SO I WAS OK. IN MY OPINION; THIS APCH COULD HAVE BEEN DISASTROUS. TWR NEEDED TO WORK OUT THE SEQUENCE BETTER; THEY NEEDED TO MAKE US AND THE OTHER ACFT AWARE OF OUR POS; AND TWR NEEDED TO HAVE ONE OF US GO AROUND; GIVEN THE FACT WE ALMOST ENDED AT THE SAME TIME ON XING RWYS AND ALMOST MET IN THE MIDDLE! CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: RPTR'S CONVERSATION WITH TWR WAS WITHOUT RESOLUTION. THE TWR COMMENTED TO THE RPTR THAT THERE WAS NO PROB SINCE HE DIDN'T ACTUALLY PROCEED ONTO THE OTHER RWY; HAVING STOPPED AT THE RWY EDGE.