In section the track (not the socket) is 29/32" tall, 3/8" wide at the top, and 5/16" wide at the bottom. The rearmost 1-1/2" is tilted down at 6 degrees.
It seems like the dimensions of the 32-119 bracket are such that it would fit the end of the track, but perhaps the down-tilt was a problem. Nevertheless it might be possible to use the 32-119 if it was shimmed to mount to the back of the cabinet perpendicular to that tilted back end of the track rather plumb or flat on the back of the cabinet.
Thanks, for any further help you can provide.