According to Orochimaru, Kimimaro was extremely special and one of the few who possessed the Kekkei Genkai associated with the Kaguya clan.
Regardless, I'll assume you mean Kimimaro's abilities against the Hyuga style. In terms of defense, the Hyuga possess the Hakkeshou Kaiten which hasn't ever been penetrated, so I will go ahead and assume that they have advantage. In terms of offense, however, the Kaguya possess Shikotsumyaku, which is said to be stronger than tempered steel.
Overall, I would argue that the Shikotsumyaku is more effective than the Hyuga style for if the two styles were to be used against each other the Hyuga would require contact for their Taijutsu with the Kaguya which wouldn't be possible for the Kaguya ability of sending bones out of there skin. Also, Kaguya have bones that can reach long distances and can use Sawarabi no Mai which would just about end any Hyuga.