A FATIGUED FALCON 10 CAPT CLBED TO 2000 FT BEFORE THE 4.5 DME ON THE TEB 5 EVEN AFTER THE FO WARNED HIM OF HIS ALT.

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DEPARTING RWY 24 TEB; SID CALLS FOR RWY HEADING TO 1500 FT MSL THEN R TURN TO 280 DEGS UNTIL 4.5 DME TEB; THEN CLB TO 2000 FT MSL. I PROCEEDED TO CLB TO 2000 FT MSL AFTER THE TURN TO 280 DEGS. ATC QUESTIONED THE ALTITUDE; SAYS IT IS A CONFUSING DEP. NO OTHER CONVERSATION. NO OTHER ACFT IN THE AREA. I READ BACK THE CLRNC TO MY SIC BEFORE DEP CORRECTLY. WHEN I ASKED HIM WHY HE DIDN'T SAY ANYTHING TO CORRECT ME; HE SAID HE TRIED TO. I NEVER HEARD ANYTHING FROM HIM. PURE CASE OF CRM GONE TO HECK. DEP PLATE WAS ON HIS YOKE. FROM NOW ON; PROC WILL BE TO HAVE IT ON THE PF'S YOKE FOR QUICK GLANCES. WE USE 1 SET OF PLATES IN THE COCKPIT.SUPPLEMENTAL INFO FROM RPTR ACN 793968: UPON REACHING 1500 FT THE CAPT INITIATED THE TURN TO 280 DEGS; BUT CONTINUED TO CLB. I REMINDED HIM 'MAINTAIN 1500 FT TO 4.5 DME.' HIS RESPONSE WAS 'GIVE ME 2000 FT (IN THE ALTITUDE ALERTER).' I AGAIN VOICED MY CONCERN; THEN ATC ASKED OUR ALTITUDE. THE CAPT SEEMED SURPRISED TO DISCOVER THAT ANYTHING WAS WRONG; AND ATTEMPTED TO RATIONALIZE THE SITUATION. THE SITUATION WAS RESOLVED WITH A CURT EXPLANATION FROM ATC OF OUR RESPONSIBILITIES; AND THEY VECTORED US ON COURSE AND UP TO 10000 FT. THERE WAS NO TFC CONFLICT PER OUR TCAS. CIRCUMSTANCES: WE HAD AN EARLY XA15 START (XA45 DEP) AND DID NOT DEPART TEB UNTIL XL55. WE DUTIED OUT AT XN55; 20 MIN. SHORT OF OUR 14 HR. MAX. DURING THE WAIT AT TEB THE CAPT EXPRESSED THE DESIRE TO 'TAKE A NAP'; BUT SAID THAT HE HAD TOO MUCH PAPERWORK TO CATCH UP ON AND THEREFORE WAS PROBABLY TIRED. I SPENT 3 TO 4 HOURS IN THE SNOOZE ROOM AND WAS REASONABLY REFRESHED.