RPTR'S ACFT X STRAYED OFF SID. AS THEY WERE CORRECTING; THEIR TCASII WAS ACTIVATED BY ACFT Y.

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ATC CLRNC CLRED AF-JFK; DARPA 2 DEP RWY 9; EXPECT FL290. TWR CONTACT: CHANGE CLBOUT; INTERCEPT 040 DEG RADIAL OUTBOUND; CLB/MAINTAIN 4000 FT. FO (PNF) CLARIFIED WITH READBACK 2 TIMES; TWR CLRED INTO POS AND HOLD AFTER TFC; CLRED FOR TKOF CONTACT DEP. NORMAL TKOF. FOLLOWED DARPA 2 SID PROCS INITIALLY. FO AND CAPT BOTH HAD RAW DATA DISPLAYED. UPON CONTACT WITH DEP; CTLR GAVE CLRNC TO CLB TO FL290. THEN CAPT AND FO NOTICED FLYING THROUGH 25 DEG RADIAL AND IMMEDIATELY VERBALIZED AND MADE CORRECTION BACK TO 040 DEG RADIAL AT APPROX 10 DME AND 3000 FT MSL. SVZM CTL INFORMED CREW WE WERE FLYING THROUGH 22 DEG RADIAL -- FO ACKNOWLEDGED. ACFT WAS CLEAN AND APPROX 4000 FT CLBOUT -- TCASII WARNING AND BOTH PLTS VERBALIZED VISUAL CONTACT WITH DC9 AT APPROX 11 O'CLOCK; 5000 FT OPPOSITE DIRECTION. WE WERE ALREADY CORRECTING TO 040 DEG RADIAL AND CLOSEST SEPARATION WAS APPROX AT 4700 FT; 1-2 MI LATERAL; 300 FT VERT. NEITHER TWR NOR DEP PASSED ANY INFO REGARDING TFC EITHER BEFORE; DURING; OR AFTER TCASII VISUAL CONTACT SVZM. CTL DID NOT ACKNOWLEDGE ANY OTHER DEVS OTHER THAN ACFT DEV LATERALLY FROM 040 DEG RADIAL (APPROX 2 MI N). PROB: PRIMARY LANGUAGE USED BY SVZM TWR/CTL IS SPANISH. THEY ONLY USE ENGLISH WITH UNITED STATES REGISTERED ACFT. ENGLISH IS SPOKEN POORLY WHICH LEADS TO SEVERAL READBACKS CAUSING CONFUSION AND CLOGGED RADIO FREQ COMS. NOTAMS AND SID INFO ADVISE CREWS TO MAINTAIN 4000 FT UNTIL DARPA OR FIRST DEP FIX; NEITHER NOTAMS NOR SID ADVISE CLRLY OF REQUIRED ALT IF VECTORED/CLRED OFF SID. CTLR GAVE CLRNC TO CLB TO FL290 -- NEVER INDICATED TO MAINTAIN 4000 FT DARPA AND THEN CLRED TO CLB TO FLT LEVEL. CREW READ BACK 'UNDERSTAND CLRED TO CLB FL290.' CTL NEVER ACKNOWLEDGED ALTDEV. TWR/DEP NEVER GAVE TFC RPT BEFORE; DURING; OR AFTER LOSS OF SEPARATION. CREW DEVIATED FROM CLRNC BY FLYING THROUGH 040 DEG RADIAL BY APPROX 2 MI N BEFORE CORRECTING. SOLUTIONS SUGGESTED: CONTINUED EMPHASIS/TRAINING WITH CTLRS OF IMPORTANCE OF USING ENGLISH AS PRIMARY -- LEADS TO BETTER SITUATIONAL AWARENESS FOR ALL PARTIES ON FREQ. UNITED STATES REGISTERED ACFT WOULD CONTINUE TO REQUEST ABSOLUTE CLRNC UNDERSTANDING. NOTAMS SHOULD CLRLY STATE IMPORTANCE OF ABSOLUTELY MAINTAINING 4000 FT TO DARPA OR FIRST DEP FIX; EVEN IF VECTORED/CLRED OFF OF SID. COMMERCIAL CHART SID (ATTACHED) SHOULD CLRLY STATE IMPORTANCE OF MAINTAINING 4000 FT TO DARPA EVEN IF CLRED TO CLB EARLY TO FLT LEVEL. FMC DATABASE SHOULD ALSO REFLECT ACCORDINGLY. CTLRS SHOULD BE TRAINED TO UNDERSCORE CLRNC CLARIFICATION BY GIVING CLRNC TO CLB TO FLT LEVEL AFTER DARPA; BUT MAINTAIN 4000 FT. WHEN DEP CLRNC IS CHANGED FOR TFC; CTL MUST PASS TFC INFO TO PLTS IMMEDIATELY WITH APPROPRIATE UPDATES ON CLBOUT. CREW WAS NOT VIGILANT IN INTERCEPTING 040 DEG RADIAL AS CLRED AND DID NOT IMMEDIATELY ACKNOWLEDGE LATERAL DEV WHEN IT OCCURRED. CREW SHOULD HAVE MORE THOROUGHLY BRIEFED AND UNDERSTOOD 4000 FT ALT RESTR BEFORE ACCEPTING DEP. ALT CLRNCS; CLRNCS OFF SID WITHOUT TA'S AND CREW LATERAL DEV CREATED A 'TRAP' (LOSS OF SEPARATION) WHICH WAS AVOIDED BY CREW VISUAL ACQUISITION OF TFC AND TCASII ADVISORIES.