DC8-70 CREW HAD AN UNSTABILIZED APCH; AND HARD LNDG; AFTER THE FO WAS UNABLE TO CORRECT ACFT DRIFT IN A XWIND.

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WINDS AT DTW WERE 300 DEGS AT 13 KTS. WE PLANNED TO LAND ON RWY 27R AT DTW; BUT APCH GAVE US RWY 3R. WE WERE RUSHED ON APCH. WE MADE A QUICK DIVE TO RWY 3R FINAL; BUT WERE UNSTABLE ON THE APCH. I WAS VERY BEHIND THE AIRPLANE; AND ON THE LNDG (WINDS WERE RIGHT AT MY LEGAL LIMIT); I STARTED TO DRIFT; AND CORRECTED THE DRIFT WITH BANK; BUT DID NOT ARREST THE SINK RATE. I CONTACTED THE RWY IN L BANK AND EXCESSIVE SINK; RESULTING IN THE #1 ENG POD CONTACTING THE RWY. THE ROOT CAUSE OF THE PROB WAS; 1) MY INEXPERIENCE IN TYPE; AND 2) BEING RUSHED ON THE APCH; CAUSING ME NOT TO BE MENTALLY READY TO LAND IN XWINDS. WHAT WE SHOULD'VE DONE TO AVOID THE PROB: 1) ASK FOR RWY 27L; 2) USE AN AUTOPLT COUPLED APCH TO ALLOW ME TO HAVE TIME TO MENTALLY 'CATCH UP WITH THE AIRPLANE;' 3) DO A BETTER JOB OF RUDDERING OUT THE CRAB; AND PICK THE NOSE UP MORE TO ARREST THE SINK RATE. ANY OF THESE THINGS WOULD'VE PROBABLY KEPT THE #1 ENG FROM CONTACTING THE RWY. THE NET EFFECT OF BEING RUSHED AND INEXPERIENCED IN TYPE MADE THE LNDG MORE THAN I COULD HANDLE.