Kaga said she aims to be 大将 which is both the rank of Admiral, but can also mean boss; which is why Akitsu said she had ambition.
Next, Akitsu said 権力を握る which is to seize power, but has the verb 握る, meaning to seize but also to grip, which is also the verb used for making sushi (specifically nigiri sushi, the one with the fish on top - not a roll).
Don't call her a pig, put it as something nicer. Perhaps, "eating machine"?
On reflection you're right, seeing as she's female it really ought to be a 'sow' rather then pig.
Let's see... Perhaps I should aim to be the one in charge?Of a sushi shop....so what you want to grasp is sushi, is it?Is there anything that you want to do?drool...Kaga's DreamIt is my dream to consume freshly-made sushi.You can't eat them all up.Kaga-dono, after the war is over...It'd be just a matter of time until that store is destroyed...Well now... Kaga-dono's quite the ambitious person. To grab the reins of power...