MEDICAL EMER WITH PAX BEHAVIOR ILLNESS CREATES A FLC DISTR AND AN ALTDEV ALT OVERSHOT IN DSCNT. FLC DEV RECOVERED WHEN FO NOTES ALT BUST.

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WHILE BEING VECTORED FOR DOWNWIND POS (RWY 32) I WAS CLRED TO DSND TO 6000 FT. APCHING 6000 FT; THE FLT ATTENDANT CAME INTO THE COCKPIT TO INFORM ME THAT A PAX WAS EXPERIENCING A POSSIBLE MEDICAL EMER. AT THE SAME TIME APCH CTL CHANGED THE RWY TO RWY 28R. WHILE ATTEMPTING TO COORDINATE WITH THE COMPANY; ATC; FO AND FLT ATTENDANT; I ALLOWED THE ACFT TO DSND TO 5400 FT. AS REITERATED MANY; MANY TIMES: FLY THE AIRPLANE FIRST -- AND BE ALERT FOR RED FLAGS THAT INDICATE DISTR FROM THE PRIMARY CONCERN OF JUST THAT: FLYING THE AIRPLANE. SUPPLEMENTAL INFO FROM ACN 338809: WE WERE DSNDING ON APCH. FLT ATTENDANT CAME TO COCKPIT ABOUT 8000-9000 FT TO ADVISE OF A PAX MEDICAL EMER. PAX CHEST PAINS; COULDN'T BREATHE; COLD; CLAMMY SKIN. APCH WAS ADVISED AND QUICKLY DSNDED US TO 6000 FT AND WAS GOING TO GIVE US SHORT DOWNWIND; R BASE TO RWY 28R. WHILE I WAS TALKING TO THEM AND LOOKING FOR RWY AS WE DSNDED THROUGH CLOUD DECK (BROKEN) I NOTICED WE HAD DSNDED THROUGH 6000 TO 5400 FT. ADVISED CAPT AND WE IMMEDIATELY CLBED TO 6000 FT.