Kanye West is more likely ESFJ. Eminem's most likely ISTP imo. Maybe ISFP. Madonna's ESTP.
This is what I think -
Kanye West
We agree that he's definitely E, S, and F.
P - He's more spontaneous than anything else. He wrote the song "Through the Wire" in the hospital, just out of the blue he got the idea and went with it. That's a P act. He's definitely a spontaneous person, the other factors don't tell much.
Eminem
I - No doubt he's introverted. He doesn't seem to like people in general much, he does love his kids (more of a family guy), and he certainly is self-reflective.
N - He's intuitive, he takes one thing and builds on the meaning of it to make it something more than what it is.
T - He's too crude to just be an F. He also tends to reflect and think a lot about events and happenings.
J - He stays ahead of deadlines, and plans things in advance. He's very hard working. He's definitely not the most loose or casual person in the world (casualness is more of a P trait). In fact, on the contrary, he's pretty intense. He's not a very spontaneous guy, he focuses on his work (rapping) a lot.
INTJ's are extroverted thinkers. He's an extroverted thinker, as shown by his almost nature of spewing out his thoughts to the outer world.
Additionally, INTJ's are among the least sociable of the 16 types.