Does it make sense to speak of "Universal Consciousness" or "Universal Intelligence"?

[Neo-Scholastic]

The evidence for dualism is that there is mind, and the objects which a mind perceives and thinks about. You can insist that the mind supervenes on the brain-- certainly, the content of ideas and thoughts seems to do so. But not only can we not show a mechanism for the supervenience of consciousness on the brain, we can't even show why it would be that a physical structure which can input and process information and produce a behavioral output would cause/need actual subjective awareness.

The evidence you cite is for the mind in general and not particular to dualism. You are right to be critical of the lack of demonstrated mechanism for the monist position, but dualism has the same problem with the added burden of location issues and the effect of physical trauma on the mind.

And the additional burden for monism is explaining why some neural systems are associated with consciousness and others are not. There is clearly an additional process beyond just neural activity.