This is a great question, Ray. I’ve been pondering this for the last couple of hours. The answer is not in thinking. There seems to be a lot of automatic questioning of beliefs that happens over here. I don’t know how long that’s been happening or what started it.
The framework that Byron Katie provides seem to be effective, if you know how to use it. The thrust of it is to question the belief enough that it lets go and then there is an experience of what is left without the belief. “Who or what would you be without that thought” seems to be powerful.
Apart from that, paying close attention to what is actually happening as directly and non-conceptually as possible seems to lead to beliefs falling away. I have recommended Vipassana meditation as taught by S.N.Goenka for that.
Beliefs seem to lose anything to stick to when reality outside of the conceptual mind is attended to enough. Here’s an example: most people believe that they are somehow what seems to be happening only inside the body (whatever that might mean; it’s nonsense). I’m going to assume that you don’t thoroughly believe that, and so I can ask you who or what you would be without that thought or belief. This is not a cognitive exercise. The answer comes in the space, in the experience, that comes after the question.