MLG CPR ACFT SHORTLY AFTER TKOF HAD TCASII RA AND NMAC WITH C150 WHICH WAS VFR. ATCT LCL CTLR TOLD RPTR CAPT THAT HE DIDN'T NEED TO ADVISE THEM OF THE TFC SINCE IT WAS VFR AND THAT THE FLC DIDN'T NEED TO FOLLOW THEIR TCASII RA.

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DEPARTING TEB IN A C3. CLRED FOR IMMEDIATE TKOF; LINE UP CHKS COMPLETED AND TCASII IS TURNED ON. TWR DOES NOT ADVISE US OF A VFR C150 OVERHEAD AND FLYING IN THE TKOF DIRECTION (RWY 1). THE TEB 3 DEP REQUIRES A 40 DEG HDG WHILE CLBING TO 2000 FT. NOISE ABATEMENT CLB FOR TEB IS V2+10. ON CLBOUT; RA WAS ISSUED BY THE TCASII TO STOP CLB AND THEN MONITOR VERT SPD. WE COMPLIED; AND TOLD THE TWR THAT WE WERE LEVELING OFF. THE NEW RATE OF CLB ACTUALLY CAUSED US TO BLOW THROUGH THE C150'S ALT. THE TWR CTLR WAS UPSET THAT WE LEVELED OFF AND STATED THAT SINCE THE OTHER ACFT WAS VFR; WE DIDN'T NEED TO FOLLOW THE RA. (WE DID NOT SEE THE TFC.) HE ALSO TOLD US THAT HE DIDN'T HAVE TO ADVISE US OF THE TFC. WHEN THE TCASII PRESENTED THE CONFLICT; EVEN ON THE 3 MI SCALE; THE RED RA BOX WAS RIGHT NEXT TO THE ACFT SYMBOL. ONLY GOD PREVENTED THE MIDAIR. IF ONLY WE WERE TOLD ABOUT THE TFC XING OVERHEAD TEB BEFORE WE STARTED OUR TKOF ROLL WOULD HAVE PREVENTED THIS WHOLE THING. WE WERE OPERATING AT A LIGHT GROSS WT; SO THE CLB PERFORMANCE WAS OUTSTANDING; BUT THE IDEA OF BEING CHIDED FOR FOLLOWING THE TCASII AS TRAINED; IS UNBELIEVABLE. ANYWAYS; NO MORE NOISE ABATEMENT CLBS AT V2+10 AT TEB FOR US.