You need to chip away at your issues and problems one by one. I feel you pile them all up in front of you and then become overwhelmed by the task.
Back to the tidy room issue. I agree with others who have said that it is nit your place to FIX the R between them. You have been fired as H, so it is not your role to support W either. It is best when ye agree but you have no obligation to agree with her.
That brings me to the crunch of the issue. What do you as man of the house want? You want to step into that role but have never shared what you think yourself. You have outlined both their sides very well, but not YOUR viewpoint.
Best wishes.
R 25 years M 14 years S11 & S13 Working on it alone since Oct 2014 M in trouble a lot earlier (~2 years) Feb 2016. 1st R chat in a yr. Next R chat Aug'17 Still together