All For Power.
Their dilemma is incredibly similar to what Noctus and Noctin are going through. But they don't have access to each other's minds, so they don't know what each other is thinking or doing. That's why she has to stick to the god of power and monitor him. That way she will be able to steal the fruit of his labor when he is done or destroy it so that he can't have it.
The fight between the Gemini twins was witnessed by a lot of people. Even world gods noticed it. That's because the god of power passed through this location on his rampage through realm trees.
These world gods had been monitoring his actions, so they noticed the fight between the twins. Almost every world god sided with Noctus.
To world gods, a Supreme Law is of uttermost importance. To the schemers, building a Supreme Law is like writing the amount you want in an open check. To the fighters and brawlers, they liken building a Supreme Law to sitting at an all you can eat buffet.