Ahh don't forget that Nagato repelled amaterasu from his body with devine push, extinguishing the flames. The only known MS user to control the Kyuubi is Madara, however him and his brother were the only ones to have possessed MS before Itachi and Shisui. Soooo... But if thats wht the tablet says, and that s**ts ancient, then yeah, I guess it can.
Anyway, back to my point, the Kyuubi could release a chakra wave, that could possibly repell or extinguish Amaterasu, but it wouldn't get to that point, since he could just control him. Oh and Shisui was the best genjutsu caster, his tsukyomi had to be sick... If he had tsukyomi as an ability.