SMT CLBING OUT OF MLB HAS NMAC WITH SMA AND OVERSHOOTS HIS ASSIGNED ALT.

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MLB TWR CLRED US FOR TKOF. UPON SWITCHING TO 'PATRICK APCH' (OUR DEP CTLR). WE WERE ADVISED OF CONFLICTING TFC DSNDING TO 1600 FT MLS. TYPE ACFT IN CONFLICT WAS AN SMA. HE APPEARED ALARMINGLY CLOSE; SO WE EXERCISED OUR JUDGEMENT AND STEERED R BY 90 DEG; I AS CAPT CONSIDERED THIS AS EVASIVE ACTION; PATRICK APCH DIDN'T OFFER ANY SOLUTION OR ANY SUGGESTION AS INSTRUCTING US HOW TO AVOID TFC UNTIL WE WERE ESTABLISHED ALREADY IN A R STEEP TURN. TKOF RWY WAS MLB'S 9R; THROUGH ABOUT 600 OR 700 FT; WITH A 'HIGH' RATE OF CLB; PATRICK POINTED OUT SMA AT 11 O'CLOCK; MOVING L TO R; AND DSNDING TO 1600 FT MSL. WITH OUR RATE OF CLB; A POTENTIAL CONFLICT WAS IMMINENT. OUR MAGNETIC HDG WAS ABOUT 090 DEG (APPROX CONSISTENT WITH RWY 9R MAG COURSE). 'PATRICK' ADVISED A L TURN WOULD HAVE BEEN BETTER. (NOTE: PAST TENSE; IE; I USE THE WORD 'PAST' TO SHOW A DISTINCTION OF FORM IN THE VERB 'ADVISED' TO EXPRESS DISTINCTION OF TIME OR DURATION OF THE LATE ACTION PATRICK DEMONSTRATED). THUS; ANY INFLUENTIAL INSTRUCTION BY 'PATRICK' WAS NON ADVISABLE! UPON ESTABLISHED ON A 180 DEG HDG; AND CLBING TO ASSIGNED ALT OF 5000 FT; I AS PNF KEPT A VIGILANT LOOK-OUT FOR THE SMA (WE WERE NOW IN AND OUT OF CLOUDS). THE PF INADVERTENTLY; HOWEVER NOT BECAUSE HE WAS INATTENTIVE; FLEW THROUGH 5000 FT BY 250 FT; THEN RECOVERED IN AS MUCH AS OUR ACFT WOULD ALLOW. NOTE: OUR ACFT IS NOT CERTIFIED FOR NEGATIVE ACCELERATION OF GRAVITY. WE WERE BOTH NERVOUSLY UPSET BY THIS CONFLICT AND THE WAY IN WHICH PATRICK AND MLB TWR HANDLED THIS. WE BELIEVE IT COULD HAVE BEEN AVOIDED IF PATRICK COMMUNICATED WITH MLB TWR JUST PRIOR TO OUR TKOF CLRNC.