NON STANDARD PROCS RESULT IN A TKOF WITHOUT DIRECTIONAL GYROS PROPERLY SET LEADING TO A TRACK DEV CAUSING FURTHER DISTR THAT LED TO AN ALT OVERSHOOT DEPARTING HOU IN A LEAR 55.

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THE WX WAS LIGHT TO MODERATE RAIN WITH TSTM MOVING THROUGH THE AREA. WHEN THE BOSS ARRIVED; IT WAS RAINING LIGHTLY SO HE PARKED BY THE PLANE AND GOT ON BOARD. I WENT AND PARKED HIS CAR WHILE THE CAPT STARTED THE R ENG AND GOT READY TO GO. WHEN I GOT TO THE PLANE; HE STARTED THE OTHER ENG AND STARTED TAXIING TO THE RWY; WHICH WAS A SHORT DISTANCE; WHILE I RAN THE CHKLIST. THE LINEMEN HAD MOVED THE PLANE WHILE IT WAS PARKED AND THE DIRECTIONAL GYROS WERE PRECESSED ABOUT 100 DEGS. WE WERE IN A HURRY AND MISSED THIS ON THE TAXI CHKS. THE TWR CLRED US TO TAKE OFF ON RWY 22 AND TURN L TO HEADING OF 200 DEGS. OUR DIRECTIONAL GYROS SHOWED A HEADING OF ABOUT 150 DEGS NOT 220 DEGS; WHICH WE SHOULD HAVE NOTICED WAS WRONG. DUE TO DEALING WITH THE WX AND RADAR WE MISSED IT. AFTER TKOF; WE STARTED TO MAKE A TURN ALL THE WAY AROUND TO 200 DEGS. THEY TOLD US WE WERE SUPPOSED TO FLY A HEADING OF 200 DEGS AND I SAID WE'RE TURNING TO IT NOW. THEY SAID TO KEEP IT TIGHT AND CONTINUE THE TURN TO 190 DEGS. WHEN WE STOPPED THE TURN; THEY SAID THEY SHOWED US ON A HEADING OF 330 DEGS AND TO TURN L TO 180 DEGS. THIS IS WHEN WE FIGURED THAT OUR DIRECTIONAL GYROS WERE WRONG AND PROCEEDED TO CORRECT THEM. WHILE DOING THIS THE CAPT BUSTED HIS ALT BY 1000 FT AND WE HAD TO DSND BACK TO 5000 FT. AFTER WE COMPLETED THE FLT; WE DISCUSSED THE EVENTS; TO FIGURE WHY EVERYTHING WENT WRONG. WE DECIDED THAT IN THE FUTURE WE WOULD NOT START ENGS OR TAXI UNTIL BOTH PLTS ARE SEATED AND READY TO PERFORM THEIR DUTIES. CUTTING CORNERS AND PLAYING CATCH UP CAUSED AN OVERLOAD WHICH CAUSED US TO MISS ITEMS ON THE CHKLIST AND THINGS SNOWBALLED FROM THERE. SUPPLEMENTAL INFO FROM ACN 595921: TWR ASSIGNED AN INITIAL HEADING OF 210 DEGS; WHICH SHOULD HAVE BEEN ONLY A 10 DEG L TURN FROM RWY ALIGNMENT. BOTH PLTS FAILED TO MENTALLY COMPUTE THIS. BOTH PLT AND COPLT DIRECTIONAL GYROS INDICATED THE ACFT NEEDED APPROX 90 DEG L TURN TO ACHIEVE THE ASSIGNED HEADING. THE IMMEDIATE CAUSE OF THIS EVENT WAS THE PLTS ALLOWED THE SIT TO BECOME RUSHED. CPR PLTS ARE SUBJECTED TO MANY PRESSURES THAT DO NOT PERTAIN TO THE SAFETY OF FLT; IE; PAX NEEDS; PAX SCHEDULE; PAX MOODS; PAX DEST SCHEDULE AND NEEDS; ETC. IT IS VERY EASY TO ALLOW THESE PRESSURES TO EFFECT FLT DECISIONS. OUR IMMEDIATE RESPONSE TO THIS INCIDENT IS TO PUT PROCS INTO PLACE TO ENSURE CERTAIN CHKLIST ITEMS ARE COMPLETE BEFORE CREW CONTINUES TO NEXT FLT PHASE. EDUCATE PAX ON SOME OF THE PRESSURES THAT CAN EFFECT THE FLT CREW.