Hi Carey
Glad you posted and hope you will ask more questions and research this site and even call the office to ask them.
It is hard to explain because Chinese Medicine is VERY different than Western Medicine, or even alternative western medicine.
There is of course a HUGE emphasis on vegetables in this diet, even eating them for breakfast and in proper combination with protein and starch.
She has worked with hundreds of patients, and many go on to lead normal lives again, avoiding sugar and alcohol. When you are done with treatment, I imagine you could return to a mostly vegan diet, with maybe some fish or chicken and minimal if any read meat. In her experience of working with so many IC patients, she has found that actually the vegan and vegetarian diets push people into their IC status. I am not sure if this is because the body becomes over-alkalinized, or just that the right nutrients for a body out of balance can't be obtained without some animal protien.
This also is NOT specific to her approach. Many gut healing protocols such as GAPS, Selective Carbohydrate Diet, and the work of the Westin A. Price Foundation all espouse the importance of eating meat to reverse gut diseases and many auto-immune conditions. This includes the Paleo Diet and the Paleo Immune diet, and MANY others.
You will find many stories of people that have "healed" their IC through raw diets, and other highly alkaline diets. But in Dr. Brizman's experience, this will simply mask the symptoms of IC, and not address the root cause of IC which is severely altered gut microflora, Small Intestine Bacterial Overgrowth-SIBO (This can be worsened unknowingly in a vegan/veg diet), and leaky gut. So even though the symptoms are reduced or in some cases eliminated, the other branches of the IC tree still remain, and people can end up driving the IC deeper into the body and have symptoms that are even harder to treat and include chronic tinitus and auto-immune symptoms such as arthritis, and the ic could return easily.
In Dr. Brizaman's approach, she is trying to rebalance all of your organ systems again so that all of your body's tissues are healthy. Red meat helps re-build tissues in the body that have been depleated through the history of your dis-ease progression that led to IC.
I strongly recommend you read her dissertation available at bomamed.com, because she understands IC like no other practitioner that I have come across and I have been doing a ton of reasearch on this.
Also, soy is a HUGE IC trigger, and almonds, oats and buckwheat and other foods can cause a lot of inflammation if eaten too early in treatment. Dr. Brizman has a careful way to re-introduce foods that does not flare the immune system and cause bladder pain. I hope you consider working with her. You will get a lot of support here.
 

Carey, you would have to ask Dr. Boaz Brizman how he would compare this approach to what is outlined in Amrit Willis' book.  I touched on this in my earlier post and you can search Dr. Matia Brizman's old blog posts about alkaline issues. Amrit put her IC in remission through a powerfully alkalinizing diet. This is not ideal from a Chinese Medicine perspective. In Chinese medicine, from what I understand, you want to encourage the body to return to and maintain its proper PH. This is not achieved and maintainted through drinking alkaline water and eating alkaline foods or doing powerful cleanses that might worsen the IC. IC comes on very slowly for most (except often there is a precipitating factor such as birth control or antibiotics that push people into being symptomatic) and it needs to be healed slowly.  Sorry I can't explain more, but you will learn as you read the dissertation, and as you come to fully understand your health history and what led you personally to IC. You will learn a ton about yourself and what you can do positively moving forward to improve and maintain your health.
Maybe others can explain this better.