Been watching from the cheap seats. This thread is addictive.
A few observations and comments.
The basement pics don't look half as bad as I thought they would. You can see the steps and floor! All that stuff needs to go though. Where is the water coming from? Broken pipes? Ground water? Sump pump not working? That is as important as fixing the furnace and DHW. Maybe this was covered before. Forgive me if I missed it.
As others have said, The comment from your wife about the nagging I also found interesting. I think she is at least 50% of the problem. Maybe her way of denying her part in it. In her mind it is all your problem.You are going to have to get her up to speed with you on this or your going to have a hard time getting this completed and keeping it that way. I have a 4' closet and one dresser of clothes and so does my wife. We have another closet of seasonal. I'm just saying, she is going to have to give up some of those bins sooner or later.
You said a while back about some scrap metal. I know it's not a priority in getting the basement cleaned up, but take some loads of that in and get some cash. It will make you feel better about getting rid of stuff plus it will give you some more much needed space.
Lastly, I think you're doing more typing than cleaning today.

We need another to do list and some progress pics everyday.
We're pulling for you Bill. If I was closer I would sign on to the team. Really.