This is an odd topic. What did you replace, the end links or the primary bushings for the sway bar itself?
If the primary sway bar bushings, are the new ones rubber or polyurethane? Polyurethane should definitely be lubed with silicone grease, and may need that reapplied every so often to get rid of squeaks, because the bar is supposed to twist within the bushing. Rubber bushings give more and are not as susceptible to squeaking. It won't hurt anything to use silicone grease on the rubber ones but a lot of people don't w/o issue.
What do you mean by "need to rotate clockwise a little bit to make the sway bar link fit"? Do you mean you have attached one end to a link already and the other end, doesn't mate up? Is it possible that you just have the wheel arms jacked up to different heights? If not, the bar should be easy enough to rotate by hand, even with no lube.
Carbon black is often put into rubber bushings to strengthen or colorize it, and into black polyurethane bushings for color as well, and provides some lubrication... nowhere near what silicone grease does, but better than nothing.
If the bushing as a slit in it, just pry up a little there and smear some silicone paste grease, then rotate the bushing around to spread it. If the bushing does not have a slit, it might have a ribbed interior cavity and the grease is applied before it's slipped onto the end of the sway bar. If it has neither of these features, then odds are it doesn't need lubed to accomplish your goals.