Personally, I think you have communicated perfectly clear and I understand your dilemma. Unfortunately, I don't believe there is a simple solution here, but a multifaceted one.

First, a major concern that you have repeated is that your therapist is not listening to you, or not understanding YOU. I believe you should change therapists. It might be a good idea to check with MENSA to see if they have recommendations for someone who could assist, as I do think you are going to need to see someone that you see as at least an equal. You clearly do not respect the therapist you are seeing now.

As far as the testing goes, it would be best if the testing were administered by someone who knows you well, knows the way you analyze things and understands your religion. So many of the tests administered, psychologically and medically are one size fits all and this is rarely the best fit.

You have my sympathy on the disability issue. Any drunk who gets a doctor to write down that he is disabled because he is an alcoholic can get disability, but those who truly require the benefit have such difficulty.