Gotta Be Nuts
What weight rating winch did you get? I am guessing the total weight with tire and bike (tire ~200lbs, bike 280lbs) will be less than 1000lbs. They have the 2500 on sale now for very cheap ($50, might as well by 2) and since the cable would be run from the chassis to the top of the lift to a turning block the weight the winch would see would be half.Harbor Freight. Go 1 size over what you need. I swapped out a Warn and put a Hated Freight one on just for the wireless remote and since they are so cheap I grabbed a spare (carry the spare remote and control box).
I have lifted my R1200RT, K1200LT and the old 1963 R60 BMW with a Ural sidecar. It does make some awful noises but it has not given me any trouble in the last 4 years.
Also stick with the steel cable. The synthetic crushes on the drum too much.