B767-200 DEPARTING WITH DEFERRED CTR DEMAND HYD PUMP; RESULTED IN VERY SLOW GEAR RETRACTION. WITH ALT RESTR AND SPD RESTR DUE TO GEAR AND FLAP SPDS; ACFT CLBED ABOVE ASSIGNED ALT. RPTR CAPT BELIEVES THAT THE HYD PUMP SHOULD NOT BE DEFERRED AS A SAFETY OF FLT ITEM.

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DEPARTED LAX WITH B767 CTR AIR DEMAND HYD PUMP DEFERRED (AFTER A 35 MIN MAINT DELAY INVOLVING VARIOUS COCKPIT LIGHTS; DOOR 2R SLIDE PRESSURE PROB; AND POTABLE WATER PROBS). IN SPITE OF DEFERRED NOTICE STATING GEAR RETRACTION TAKES AWHILE WITHOUT CTR AIR DEMAND PUMP; IT TOOK SO MUCH LONGER THAN EXPECTED; PLUS GEAR DOORS WERE NOT CLOSING; AND NOISE AND VIBRATION STRONGER THAN EXPECTED THAT IT BECAME QUITE DISTRACTING. AT 800 FT; I LOWERED THE NOSE TO RAISE FLAPS FROM 5 DEGS TO 1 DEG; WHICH FURTHER DELAYED THE DOORS; SO I MAINTAINED 200 KTS AND FLAPS 1 DEG TO NOT FURTHER DELAY THE GEAR DOORS. THIS CAUSED THE ACFT TO CLB FASTER THAN NORMAL. PASSING 1500 FT; I THOUGHT I'D BETTER START LEVELING OFF. SOMEWHERE IN THERE; THE FO ASKED IF WE SHOULD RECYCLE THE GEAR WHICH AN EARLIER CREW HAD DONE. I LOOKED AT THE GEAR DOOR LIGHT AND SAID NO; THINKING THE WHOLE OP WOULD TAKE EVEN LONGER. WHEN I LOOKED BACK; WE WERE GOING THROUGH 2000 FT. I PULLED PWR TO IDLE AND PUSHED OVER; BUT WE STILL WENT THROUGH 2300 FT BEFORE I COULD STOP IT AND RETURN TO 2000 FT WITHOUT GIVING THE PAX 3 OR 4 NEGATIVE G'S. AT THE SAME TIME; THE FO WAS HAVING TROUBLE WITH A STUCK MIKE ON THE FREQ; SO WE CHANGED TO DEP CTL AND WERE TURNING FROM 250 DEG HDG TO 235 DEG HDG ON THE LOOP 1 SID. DEP CTL TOLD US TO CLB TO 13000 FT; SAYING NOTHING ABOUT OUR SHORT ALT EXCURSION. CREW MEMBERS NEED TO BE REMINDED TO FLY THE AIRPLANE FIRST; ESPECIALLY ALTS AND HDGS; AND LEAVE NON EMER SYS PROBS TO THE PNF UNTIL EVERYTHING IS STABILIZED AND TIME PERMITS; THEN GET BACK; CAUTIOUSLY; INTO THE SYS LOOP.