It totally makes sense for you to not want to do heavy cooking after doing it all day. That's why I always thought I would never marry a chef. It sounds like a good idea to marry a guy who cooks for a living, but I always imagined it would end up going kind of like your situation.
Maybe you could try to get a freezer and do some make ahead meals, and finds somethings that you both like that aren't masterpieces, like having great sandwiches for dinner. There could be all sorts of reasons why she doesn't want to cook. Maybe the both of you could find something else she could do to help free up some time and energy for you to cook.
Or get her involved and ask her to be the Sous chef, cooking together could be a great experience and a solution to not wanting to take turns. And make sure she feels appreciated, she might be asking you to do this thing for her because she feels you don't acknowledge things that she does for you. Trust me, if you take the time to honestly thank her for everything you can think of it might diffuse those 3 day mad trips.
First thing: remember this is not about being right, it's about doing what's necessary to make her happy, so she can contribute to your happiness. It may feel good to argue your point, but finding a satisfying compromise will be more fulfilling (and less stressful) in the long run. Since you're saying that she's telling you you're "not useful", I have to ask; Are you doing your fair share of the household chores?
Try to understand her perspective. If there's a great disparity in how much either of you work both inside and outside of your home, it can be a major cause for resentment. Work towards a mutual understanding of each other's feelings and position on the subject, as there is almost certainly more to it than simply who cooks dinner.
Without knowing more, it's entirely possible that it's she that needs to change her attitude. In any case, there's resentment building, and if nothing is done the fights will continue or escalate.
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