I'll admit Kakashi was cool in Part 1, but I take issue with your other statements.
Kakashi was not the best sensei. He's the worst. Look at the job of a Jonin sensei and compare to how Kakashi executed that function. Leaf Jonin are given 3 genin with different strengths and weakness (basically 3 solos acts) and told to make them work together. Did Kakashi do that? No. Asuma did for the Ino-Shika-Cho, Guy did for his taijutsu only team and presumably Kurenai did for Team 8 (since Team 8 operated autonomously without her throughout Part 2). Sasuke, Naruto and Tsunade are all the students of the Sannin more than they are of Kakashi.
I have reserved feelings on how far Kakashi understood anyone. He didn't understand Sasuke, he wrote Naruto off, and didn't really consider Sakura.
Kakashi was so laid back that I don't really recall his having any inclanation to excel. He was talented and just seemed to take it easy most of the time. Being Hokage was never on his mind, so it's not like he was working to succeed his master (Minato) or anyone else.
Kakashi does have a tragic backstory with his father Sakumo, Obito and Rin, but we never really get in to those things. When Tobi was revealed to be Obito. All of a sudden all of Kakashi's doubts and resolve spill to the surface. He said he wanted to work hard to prevent losing comrades but he could never keep his word. He just sort of went through the motions of life as they came.
His friendship with Gai is great. We need more KakaGai. More KakaYama would be nice too.
Kakshi's over-reliance on the sharingan was his downfall. Yes he created the chidori, but Minato quickly discerned the flaws it in. Had Obito not seemingly kicked the bucket and offered Kakashi one of his sharingan, Kakashi would never have been able to safely use chidori/raikiri and the variants throughout his career.
