But they're not best buds, at all. The Kyuubi doesn't see Naruto as his best friend or what-have-you, what they have is more of an understanding of their circumstances and a grudging respect for each other.... Well, the grudging part is on the Kyuubi's side, but it still stands.
There's always a chance that he's still pretending to be nice and waiting for a chance to escape himself, even if it's a low chance.
...Also, I have no idea what you edited....

Brian Blessed is the go-to guy for boisterous roles in British cinema and theatre. He played Hamlet Sr. in Kenneth Brannagh's adaptation of
Hamlet, and while he was whispering his whole lines, he still managed to whisper very loud.
The thing is, all the tailed beats were mistreated, but Naruto seems to be something they didn't anticipate. What happens when someone doesn't see them as weapons or monsters, but living things trying to find a home?
They have respect for the Six Paths because he seemed to see them like his own children. Giving them names and such.
Also, where does it say the Kurama was the embodiment of hatred? I don't remember anything saying that. Sure he hated a lot of people, but the people he hated did stuff to him. Even Minato seemed to see them like monsters. So even if he does hate everyone I think it's not because he is created from hate, but rather what was put into him by the people who treated him wrong.
To me I see Kurama like the bratty kids in school. They never obey people and play jokes not because they hate people, but because they were kind of shunned and neglected and being told what to do all the time instead of people accepting who they are.