At least on my first playthrough I'll be romancing Josephine, so I imagine I'll do things her way quite a bit, but I will try to balance it depending on the situation.
Cullen: "The enemy's defense is weak. I say we attack them head-on."
Inquisitor: "Good idea! We'll--"
Josephine: "ahem"
Inquisitor: "Er, uh, that's an awful idea, Cullen. Wow you're such an idiot. We'll take the diplomatic route and try to talk the enemy down!"
Cullen: "There's a dragon attacking multiple villages. We need to kill it."
Inquisitor: "That seems very plausible, Cullen. I'll gather a team, and we'll--"
Josephine: *death stare*
Inquisitor: "--talk it down! Yes, we will try to befriend the beast! With the power of diplomacy! For the Inquisition!"
Cullen: "Our enemies are attacking the keep and killing everyone. We need to fight back."
Inquisitor: "We have no other choice. We must--"
Josephine: *whistles*
Inquisitor: "Sing! We shall sing! And with the power of our beautiful voices, we will move our enemies emotionally and turn them good! For the Inquisition!"