B767-200ER CREW AND 2 F18 ACFT HAD A CONFLICT IN SCT CLASS E; ON THE PARADISE FOUR STAR.

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FIRST I DON'T REMEMBER THE ALT; BUT IT WAS WITHIN THE PRESCRIBED ALTS ON THE PARADISE ARR AT LAX. DSNDING ON THE PARADISE 4 ARR WE RECEIVED A TA; THEN AN RA TO 'CLB.' WE COMPLIED AND I SAW AN AIRLINER BELOW US; THINKING THAT WAS THE PROB. THEN ALL AT ONCE WE GOT 'DSND; DSND.' WE COMPLIED WITH THAT. LOOKED TO THE L AND SAW 2 F18'S COMING TOWARD US. THEY WERE GETTING CLOSER AND CLOSER. FINALLY I MADE A SHARP R TURN AND AVOIDED THEM. WE ADVISED ATC WHO NEVER KNEW OF ANY PROB. MY OPINION IS THAT THE ORIGINAL 'CLB' WARNING WAS FROM THE CLOSEST FIGHTER; AND THE 'DSND' WAS FROM THE HIGHER ONE; WHO WAS ABOVE HIM. THE HIGHER ONE HAD HIS GEAR DOWN. WE BOTH THOUGHT THAT UNUSUAL AT THAT ALT AND THOUGHT THAT HE MIGHT HAVE HAD A GEAR PROB. HIS WINGMAN (CLOSER TO US) WAS APPARENTLY LOOKING AT HIM AND NEVER SAW US UNTIL THE LAST SECOND. WE DID SEE THEM PULL UP AFTER WE TURNED AND DSNDED. ONCE AGAIN; WE RPTED IT AND THE DEVS; BUT ATC DIDN'T SEEM TO THINK THAT THERE WAS ANY PROB. SUPPLEMENTAL INFO FROM ACN 634799: ON PDZ4 ARR INTO LAX; AT APPROX 16000 FT MSL; WE RECEIVED A TA FOR TFC AT 11 O'CLOCK POS; PRETTY MUCH LEVEL. VISUALLY PICKED UP 2 F18'S. TCASII COMMANDED CLB WHICH WE FOLLOWED INITIALLY. F18'S STARTED CLBING TOO. SINCE WE WERE NOT DECONFLICTING WE INITIATED A DSNDING R TURN TO AVOID A MIDAIR. TCASII UPDATED ITSELF WITH COMMAND TO DSND. ONE F18 PASSED HIGH AND BEHIND AND THE OTHER PASSED HIGH AND IN FRONT. THEY APPEARED TO BE WORKING SOME KIND OF GEAR PROB BECAUSE THE ONE THAT PASSED IN FRONT HAD HIS GEAR HANGING.