Spiderpidge - that is awesome news! Your success makes sense to me. Essentially, you've created a "healthy and diverse" microbiome with all the various fermented foods and fibrous foods that you are consuming. Isn't AS a result of dysbiosis? You are proof that you can rebalance your gut by using fermented foods and ultimately reduce klebsiella to healthy level.
I wonder if you could also add a product like Dr. Ohhira's probiotics since they are organic foods that have been fermented for 3 or more years. They also include pre and post biotics that promote the growth of good bacteria. They provide a very diverse population of good bacteria for the microbiome similar to what you've been doing. I've listened to podcasts by Ross Pelton who is a natural minded pharmacist for this product. He really helps explain how Dr. Ohhira's probiotics work. I think many people don't realize that these are rather fermented foods rather than probiotics. I have yet to take this probiotic but am considering it. I do make my own 24 hr fermented yogurt, eat high quality kimchi and sauerkraut.
For those wanting to try your approach, I wonder if an initial 2 day bone broth only fast would be a helpful primer.