There is no comparison.
Misbah by far was a great captain, he knew how to use limited resources to the best of use. He would never play on myths but on the conditions of the ground.
He managed to get Pakistan into the quater finals by taking a 4 man pace attack and when Hafeez got banned, the guy decided to turn Haris Sohail into a 5th bowling option and it worked.
Misbah knew the art of how to reduce the margin between runs required and balls remaining. For that, his main crucial weapon used to be his 5th and 6th bowling option who were part timers. The skill was to decide when to use the part time bowler and get the margins reduced. Misbah was attacking and defensive when the situation required.
Misbah knew how to employ his spinners so well that he even played 3 spinners in a match and has even opened the bowling spell with a spinner in test. He would do this in limited overs, before other captains started doing this.
On the other hand, Babar seems soo confused that he doesnt even know when to bring in a spinner. Babar sees that Shaheen picks up a wicket in first over, he decides to use him for every first over of the game, irrelevent if he is fit or what the conditions are. No matter what the situation is, babar is always worried when he has to use his spinner and he ends up trying to use all his spinners by the 15-16 over.
Babar not once used a part timer so that he could have multiple options of bowlers in the end. It was the same story in every game. Haris, Shaheen and Naseem having overs left, and no matter if they were hit for 30 runs per over, he would only have the option to bowl them in death.
People used to whine about defensive captiancy in Misbah's era, Babar is what aggressive captiancy looks like. This is why, for the last 14 years i ahve always said on Pakistan, you cannot be a fully defensive or aggressive captian. You need to adjust with what the match situation requires. Misbah got critisizied for being defensive captian, but Misbah used to adjust with what the situation warranted. Babar was a pure aggressive captain, who would try to attack and lose the match in the end.
As for field placements, Babar was an absolute idiot in this regard. He would remove long on and long off and have them at mid on and mid off in death overs.