I don't want to take part in my parents dispute about their alimony.
Why do you want to stay out of it?
It's a mess and I don't want to be involved in their personal problems.
I think it's fine that you don't want to get involved in your parents' argument regarding money. It's reasonable that you don't want to choose sides, because that will help your relationship with each one more stable.
It's one sided, she wants more money and he wants less given his income. I miss mom's cooking so maybe I should cook for the family.
I think that you should tell that to your parents. I think that most kids want to stay out of the intense arguments like that.