CRJ200 CAPTAIN REPORTS A TRACK DEVIATION WHILE FLYING THE KENNEDY 1 BREEZY POINT TRANSITION.

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FLYING KENNEDY 1 DEP BREEZY POINT CLB; WE DEVIATED 1/2 - 1 MI E OF THE CANARSIE VOR. AFTER TKOF; THE PF (FO) STARTED HIS L TURN TOWARD THE CANARSIE VOR. THE WIND AT THE TIME WAS 20-25 KTS OUT OF THE W. PASSING THROUGH 1000 FT I NOTICED THAT WE SEEMED TO BE DRIFTING E OF THE REQUIRED DEP PATH. THE FO STARTED TO MAKE SOME SMALL CORRECTIONS. AS I WAS MONITORING OUR FLT PATH WE WERE HANDED OFF TO DEP. AFTER CHKING IN WITH DEP; I NOTICED THAT WE WERE STILL 1/2 - 1 MI E OF THE CANARSIE VOR. HIS CORRECTIONS WERE NOT ENOUGH AND I SHOULD HAVE SAID SOMETHING ABOUT IT WHEN WE PASSED THROUGH 1000 FT. THE CTLR THEN ASKED US WHY WE WERE CUTTING THE CORNER OFF THE DEP. I LET HIM KNOW THAT WE WERE CORRECTING AND APOLOGIZED. WE THEN INTERCEPTED THE 223 DEG RADIAL AFTER THE CANARSIE VOR. SOME OF THE FACTORS THAT CONTRIBUTED TO THE DEV WERE THE WIND AT THE CURRENT TIME. ALSO THE FEAR OF GOING W OF THE CANARSIE VOR INTO LGA AIRSPACE COULD HAVE CONTRIBUTED TO OVER COMPENSATING ON OUR TURN. I DEFINITELY SHOULD HAVE COMMUNICATED MY CONCERNS A LOT SOONER AND WILL DO SO IN THE FUTURE.