I agree that the people who have said to stop fighting have a good point. Fighting is the wrong tool. I have what may seem like a strange suggestion. Get a couple of books about exotic animal training methods from Amazon. Try to read them with the perspective "this could apply to a human too" in mind.
The reason I suggest this is that it is clear to me from all the fighting that you've both become very verbal about the struggle you're in, and that you have some deeply ingrained verbal ruts that you're locked into, which is really what you mean when you say that you're both stubborn. You need mostly non-verbal tools that you can try to apply.
And you also need some time and patience. The storm is worst before the dawn. It's painful now, but if you can hold on, you can probably win through to a happier place. Look for any information that you can find about non-verbal behavioral change tools. They are often easier to find in the world of animal training where the critters can't be reasoned with. Assume your husband is shamu for a while. You've exhausted the talking, strained that tool to the max in every argument, and many little things are being taken personally because of the verbal patterns you are repeating. Your therapist will help you with your verbal stuff if you give it time. In the mean time, try your best to stop relying on your words.
Here are a couple of start points. http://www.nytimes.com/2006/06/25/fashion/25love.html is an awesome article on the subject, which references a book you might want to read. Even dog training books you can get at your local pet store may offer you some insights if you can read looking for ideas. And there is a book called "The 5 love languages: how to express heartfelt love to your mate" or something about like that, which you can order from Amazon. It is about how we do for others as we would like done for us and why that doesn't work but can give us clues about what will work in a marriage. Many of the options are non-verbal. It's written by a minister. If you're not religious, just ignore the parable quality as much as possible. His points are still good even if the religious component is a little heavy.
Beyond that, I think it would do you well to stop yourself before you argue about anything else and ask the question "Do I need to lock on and take this one all the way to the mat, or is it okay to do no more than say 'I disagree, but it's not worth us fighting right now. I find it too exhausting.'" And then stick to it. Walk to a different room, go back to doing dishes, or whatever you need to. You've lodged your disagreement. If he really wants to know, he will ask. At which point you can ask if he's up to talking about it without a fight right now, or if it should wait. That should at least somewhat help to reduce the fight load you're struggling with.