I think the lens is too narrow here...
Imagine a DW game. There is a Barbarian, and a Paladin. The Paladin imagines the barbarian as a servant of chaos, so he has a bond for himself of "The Barbarian's misguided behavior endangers their very soul!" and an alignment of 'Good' (Endanger yourself to protect someone weaker than you). He's concluded he must save the Barbarian from himself! The Barbarian is Neutral (Teach someone the ways of your people) and creates a bond "The paladin shares my hunger for glory, the earth shall tremble at our passing!" Clearly there's going to be some head-butting here...
Now, what is GOING TO HAPPEN in this game? Regardless of the specific fiction (IE if they are in a town, on a ship, whatever is happening) the Barbarian is going to "show the paladin his ways" and the Paladin is going to try to redeem him from his evil ways! LOL. As the GM this will be pretty amusing! They spy some goblins, and the barbarian decides to hunt them, he's going to show that paladin how it is done too! But the Paladin leaps from cover and charges the prey, sniping at them with bows is unmanly, doesn't that barbarian have any honor? Well, this is kind of generic, but at some point they will face an actual dilemma, a point where say, the Paladin cannot protect someone without sneaking. This will never due, the barbarian will learn bad ways! The game is ABOUT their dynamic, the situations the GM will come up with are literally going to test that dynamic, again and again. As bonds are resolved and rewritten the dynamic will evolve, but it will always be there.