A quote that demonstrates the leadership style of Jack in Lord of the Flies is the following: “Bollocks to the rules! We're strong—we hunt! If there's a beast, we'll hunt it down! We'll close in and beat and beat and beat!”
Here is a young man who's not interested in rules, in establishing a rules-based order of democracy on the island. Unlike Ralph, he wants a dictatorship, a dictatorship in which he, Jack, is the dictator, the sole ruler of the other boys.
As the above quotation amply demonstrates, Jack believes that might makes right. Only those prepared to use extreme violence are entitled to be in control. Although Jack's talking about pigs, he might just as well be talking about the other boys. As far as he's concerned, rules mean nothing, whether in relation to the hunting of animals or the establishment of a political order on the island.
Jack's dictatorial leadership style is based on nothing more than violence and physical force, and this inevitably puts him at odds with Ralph.