Oh god no. My parents are very shouty! My dad has been violent a few times (not to my mum directly, but punching holes in doors, throwing plates etc) and my mum slaps when angry!
When me and Himself were first together, I would shout and yell and say awful things. He would stand there and say "I am not shouting. We will talk when you are calm." and he would not engage with me.
I learned very quickly that it is pointless shouting all by yourself 
When we disagree, I tell him how I feel and what I think should happen, he tells me how he feels and what he thinks should happen, I tell him why I think he's wrong and he tells me why he thinks I'm wrong. Often one or other of us will actually see that the other person is right!
Otherwise, if it really matters to him but I'm not that bothered, we do it his way. And vv.
Sometimes he's 'put his foot down'
and I've said "fine, we'll do that then, but understand that when it all turns to shit, I will go on and on and on and on."
He says "I know." 
Then we get on with it.
It's all very - amicable.
Early days were not so. We had a huge power struggle. But we're over that now.
And you know what? It's bloody GREAT! I have never been happier. It's so calm and it's really nice.
I never argued in any other relationships, because if they didn't do everything my way, I walked. Straight away. My way or piss off. He is the only person I have ever been willing to compromise with.