I think the junk yard I go to uses a similar compound to get that done instead of wet sanding. And for wet sanding with haze, you either have to wetsand up to 3-5 times OR do AN EXTREMELY THOROUGH job the first time. It should take you an hour if you do a good enough job on both head lights.

1998 Mercury Mystique LS - Looking for SVT EXHAUST, SVT Rear bumper (silver frost) and ANY rocker mouldings (side skirts)