Jeff divorce is not fun and one of the most stressful experiences one can have. I presume thinking along the lines you have is not unusual and totally understandable, and sorry you had to experience it.
The problem is that your thoughts are in fact irrational and they make you feel bad, hopeless. By changing the way you think about the same event, your mood will improve.
You might want to see a psychologist who specializes in CBT (cognitive behavioural therapy), or learn some techniques by your self. The one I like and the one that really saved me many times, is the 3 column technique. Check e.g. the book “Feeling Good” by David Burns.

You think ” The life I loved is over. My kids are now statistics…”, you are catastrophizing the matter, you see as “all or nothing”, but the life you loved is likely not totally over, and you still have your kids.
You think “No exciting future will come of this”, you are trying to predict the future. Most likely you find the ways to enjoy life, ways to live meaningful life. Nobody took this from you.
You think “No good comes of this”, you are again predicting the future and you think it is black and white. In fact, your kids learn from you how to deal with this situation or learn what should have been done differently. It makes you stronger, and your kids stronger. It perhaps opens some new opportunities for you.
Anyways, hope you get the idea