Atticus deals with conflict intelligently and calmly.
Each character deals with conflict in his or her own way. Scout tends to fight and argue, and if that does not work she avoids. Jem is a little calmer, but even he can lose his temper and act out violently. Atticus tries to set a good example for each, telling them to be above the fighting.
No matter what anybody says to you, don't you let 'em get your goat. Try fighting with your head for a change... it's a good one, even if it does resist learning." (ch 9)
Atticus’s biggest fight is his court case. He tells Scout he will not win, but just because you know you are going to lose does not mean you don’t try to win. Atticus does his best to defend Tom and believes he is innocent. He also does not let the insults and harassment by racists bother him.
A perfect example of Atticus’s calm demeanor is when the mob tries to attack Tom Robinson. He stands up to them, and even asks them to be quiet and not wake Tom up.
When Bob Ewell spits in Atticus’s face, he also responds calmly.
Miss Stephanie said Atticus didn't bat an eye, just took out his handkerchief and wiped his face and stood there and let Mr. Ewell call him names wild horses could not bring her to repeat. (ch 23)
This demonstrates that Atticus leads by example. He is calm, cool, and collected no matter what the threat or challenge. He deals with conflict with thinking first and acting calmly.