GLF4 FLT CREW FAILS MULTIPLE OPPORTUNITIES TO EXERCISE CRM.

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ON A DEADHEAD FLT FROM ZZZ1-ZZZ. LINE OF LEVEL 4+5+6 TSTMS IN THE AREA. ATC GAVE US A REROUTE. MANY TSTMS IN THE AREA. ABOUT 10 MINS OUT FROM THE ARPT WE LOST THE #1 GENERATOR. I STARTED THE APU SO WE COULD GET THE BACKUP GENERATOR. THE CAPT WAS UPSET WITH ME STARTING THE APU WITHOUT HIS PERMISSION (I HAVE 10 YRS IN THE G4; HE HAS 1 YR). FROM THE POINT OF 20 MINS OUT FROM THE ARPT THE CAPT WAS IN A VERY UPSET MOOD. HE WAS YELLING AT EVERYTHING I DID. I ASKED IF HE WOULD LIKE THE GPS APCH TO ZZZ ABOUT 15 MINS OUT. THE ONLY APCH TO RWYXX. ABOUT 8 MINS OUT THE CAPT ASKED FOR GPS APCH TO RWY XX. THE CAPT LIKES TO BE IN CHARGE. I CAN'T SUGGEST AN APCH. WE WERE NOW WITH APCH CTL. WE WERE GETTING VECTORS TO THE GPS RWY XX. NO DELAYS AT ALL. AT ABOUT 5 MINS OUT IN TOTAL IMC CONDITIONS THE CAPT GOT ON THE RADIO AND CANCELED IFR. WE GOT OUT OF THE CLOUDS IN ABOUT 30 SECONDS AFTER THAT. IT WAS CLR ON OUR L AND IMC ON OUR R. THE CAPT CLUNG TO THE CLOUDS ON OUR R. WHEN I LOOKED DOWN AT THE FMS OUR GPS RWY XX APCH WAS GONE. ONLY THE ARPT FIX WAS THERE. I PUT IN THE RWY XX AGAIN. THIS MADE THE CAPT VERY MAD AND HE TOOK IT OUT. WE WERE LNDG RWY XX. AT RWY YY MOVING E WAS A LEVEL 5+6 TSTM. THE INTENSE RAIN WAS ALREADY OVER THE FAR END OF THE RWY. WHEN THE CAPT TURNED FOR THE RWY WE WERE TO THE NE OF THE ARPT; NOT E. HE ALWAYS LIKES TO OVERFLY HIS HOUSE N OF THE ARPT. SO I THINK HE DROPPED THE GPS RWY XX BECAUSE HE WANTED TO FLY OVER HIS HOME IN A LINE OF LEVEL 5+6 TSTMS. THE LINE OF WX WAS TOO BAD FOR THE TURN TO THE N (HIS HOME). AFTER LNDG AT MIDPOINT ON RWY XX WE HIT THE RAIN FROM THE TSTM. WE HAD LOST ALMOST ALL VISIBILITY. GOOD THING WE WERE ALREADY ON THE RWY. ALSO THE MAN AT ZZZ RADIO SAID HE HAD SPECIAL TAXI INSTRUCTIONS BECAUSE OF A WEEKEND SPECIAL EVENT. I STARTED TO CALL ZZZ RADIO; THE CAPT STARTED YELLING 'I FORBID YOU TO TALK ON THE RADIO.' THE NEXT DAY I CALLED OUR CHIEF PLT. HE TOLD ME TO PUT IT ALL IN AN E-MAIL.