Because this is such a semantic nightmare, I am not sure what kind of conscious mind you are talking about. There seems to be 3 common positions on all of this. One, the mind is exactly what certain processes in the brain are; in other words, they are both completely interchangeable. Two, the mind is an emergent property extrinsic (for example the weight of an object is extrinsic because it depends on external factors, but its mass would be an intrinsic property because mass in inherent to an object) to the brain (this second option is allowed in physicalism because it is completely dependent on the brain). Three, the mind is similar to an emergent property, has its own distinct and collective nature and is only dependent on the brain in certain ways.
I am obviously 3. DBT seems to be 1 (If you are reading this DBT, correct me if I am wrong). But you seem somewhere between one and two. Or is the conscious property more of an intrinsic property (like the mass of an object)? Or do you believe something else?
Based on the available evidence, the subjective experience of conscious sensations is an aspect of neuronal activity.
It is not known how a brain forms subjective conscious experience, but that it does is demonstrated by chemical changes within the process that alter experience in specific ways, effecting sensory experience, vision, etc, and thought processes.
If consciousness was a non material element, you would not expect it to be altered by physical changes in the brain.
Some just say that the brain is a receiver, and as the receiver is effected, so is 'reception' in terms of conscious experience. But there is no evidence for non material mind, or how non material could form a mind, nor how non material could interact with material if by some miracle non material had formed mind.
The idea seems to be a dead end.