I agree that they're very similar in their maniacal drive and will to win, but I strongly disagree that it comes from the same place. Again, Jordan knew who he was, what his strengths were and weren't, and he simply wouldn't be denied. He shot a higher percentage because he played more from the free-throw line down (Wade's game actually resembled MJ's game at it's best more than Kobe's, IMO -- Kobe's game resembles more of the late-'90's Jordan), in the post and didn't jack up the amount of threes Kobe does.
Kobe's drive has always come from an insecurity and a need for validation, IMO. He wasn't going to be Jordan, he was going to be better than him. He wasn't going to play to his strengths on the court and play the percentages, he was going to prove that he was simply better than everyone else; he was going to jack up those contested fadeaway threes or jumpers to prove a point. The way he was viewed or perceived meant more to him than winning as just another great player. It had to be on his terms and his terms didn't happen to coincide with sound decision making for his individual game or the team's. It had to be spectacular and better than everyone else. He had to one-up the GOAT, and he knew you couldn't do that by simply being who he was.
Again, the difference between their terms is where the differentiation lies.
Jordan's terms necessitated that he be the Alpha Dog and the ultimate decider of his team's fate, while Kobe's necessitated that he be the Alpha Dog and win in a fashion that was both aesthetically pleasing and otherworldly. He had to prove that conventional wisdom or the mere nature of the NBA game, as it pertains to team success, was something he had to overcome and not embrace; because, unlike Jordan, Kobe wasn't the genuine Alpha Male that commanded both a fear and respect. Kobe had all the tools and ability you'd find in a Alpha Male, but there's more to it than that.
It's really all falls right in line with that "it" factor. When you watched Jordan's interaction with his peers, almost from the minute he joined the league, and the way he was revered and feared throughout, that's the difference. Men wanted to be him, women wanted to be with him. He was THE MAN.
Kobe's respected and feared for his game but he's not the cult of personality or domineering individual Mike was. MJ simply had a mental edge over his opponents that I've never seen before and probably will never see again. He was the Genuine Article. Kobe's just got Genuine game.
I often wonder had Kobe been humbled at an early age the way MJ was and then been forced to go to college for a few years if he might've actually put it all together. Most that I've put forth could simply stem from immaturity and had he not been given and forced into the spotlight so early on, he just might've had a real chance to legitimately be said to be MJ's equal.
But then again, there's that "it" factor. And that simply can't be taught.