Jordan was a hell of a lot more competitive than LeBron. Just look at the Slam Dunk contest. Jordan did it 3 or 4 times against some of the leagues top dunkers (Wilkins, Clyde, etc..)
Jordan wanted to prove his athleticism over the other top athletes...and lost once as well.
LeBron was practically begged by fans to join the Slam Dunk contest, but he stayed in the stands. Why? I think, just as well as all the other fans, that he never liked the pressure.
No issue arguing per stats or skill sets, but up till now, Jordan showed more competitiveness and passion for the game than James.