NUMEROUS DISTRACTIONS AND TFC CONFLICTS CREATE AN ENVIRONMENT OF CONFUSION WHEREIN A DEP EMJ FLT CREW FAILS TO FOLLOW THE DEP PROC LEAVING SNA; CA.

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IMMEDIATELY AFTER SELECTING GEAR UP AND HEADING; WE HAD 2 ACFT AT OUR 10 O'CLOCK AND 11 O'CLOCK POS; OUR ALT. WE IDENTED TFC AND CONTINUED THE CLB. IMMEDIATELY AFTER; WE RECEIVED 2 MORE TFC ALERTS AT 12:30 O'CLOCK POS LESS THAN 2 MI OUR ALT VIA TCASII (NO TWR COM). THE FO WAS PF AND STARTED THE TURN FOR THE SID; BUT APPARENTLY BECAME DISTRACTED BY NUMEROUS TFC AND BEGAN TO FOLLOW THE COMMAND BARS OF THE FLT DIRECTOR. WE WERE BOTH HEADS UP LOOKING FOR RAPIDLY APCHING TFC AND UNAWARE THAT THE FLT DIRECTOR SYS WAS STILL IN HEADING AND NOT LNAV. WE SAW TFC AT 12 O'CLOCK POS AND BEGAN TO CATCH UP THE CLB FLOW AND CHANGE TO DEP; WHERE WE WERE ADVISED AT THE SAME TIME; WE DISCOVERED WE HAD MISSED THE TURN TO 175 DEGS AT 1.5 DME. WE WERE APPROX 1-2 MI S OF THE TURN WHEN WE INITIATED THE TURN. ATC ADVISED US THAT WE MIGHT GET A CALL BECAUSE OF NOISE ABATEMENT PROCS. THEY ALSO ADVISED THE TWR OF THE TFC CONFLICTS WHICH WE WERE SEARCHING FOR AND AVOIDING. THIS WAS THE 6TH LEG OF A 13 HR DAY AND A SHORT OVERNIGHT PRIOR WE WERE STARTING TO SLOW DOWN IN REACTION TIME AND RESPONSE TIME.