But Itachi told Kakashi, a person needs to have Uchiha blood to resist the Tsukiyomi.No, Itachi said Sasuke needed MS to fight him
Or that Sasuke is Madara and Inra's chakra transmigrant. Kurama sense the same chakra nature of Madara in Sasuke, because they are the same.And as I said before, Sasuke didn't need to awake his MS because his chakra was already as strong as an MS user hence why it was compared to Madara's.
FanficHis 3T Sharingan has the same power as MS users therefore he already had the ability to control Kurama if he wanted to. And it makes perfect sense because he was predicted to surpass Madara not be on the same level as him.