I read both of the links to Greg Matloff's articles, and his theory does not say that the stars move too fast to be explained by gravity, but that colder stars move faster than hotter stars, a phenomenon called Parenago's Discontinuity, and that the dividing line between the two groups of stars lies exactly at the point where the temperature allows for CH molecules to exist.
The theory goes that these molecules makes consciousness possible (!), and hence that consciousness is present in such stars! The general idea is that there is a universal proto-consciousness field that interacts with the conscious stars in some way, and Matloff has some speculations on how this field could interact with the stars (like, for instance, through the Casimir effect).
Parenago's Discintinuity is seen as evidence for the conscious stars, because the universal consciousness moves these stars faster than others. Why on Earth the universal consciousness would spend an effort on this is not clear. Why not slow the stars?
Matloff presents three mechanisms for the increased movement: 1) differential electromagnetic radiation pressure - but he dismisses this one himself, 2) unipolar jets emitted when the stars form (not likely to be caused by consciousness), and 3) a weak psycho-kinetic force (PK) - a concept firmly rooted in the woo-woo world. I have no idea why he mentions that this concept was debated by the proven fraud Uri Geller and James Randi, when he does not use any arguments from the debate. Although it would be fairly important for his argument to side with Geller, he claims that he has nothing new to add.
I have no idea if Parenago's Discontinuity is real or not, but if it real, I cannot see why this should be evidence of consciousness. A simple physical explanation without resort to new physics like PK or other signs of consciousness seems more likely to explain it.
As other evidence for "pan-psycism", he mentions the "self-organizing" of spiral galaxies after having consumed a smaller galaxy. Again, I cannot see why we need to bring new physics into the picture, merely because we do not understand this completely today.
The concept of star consciousness is so vague that it cannot be falsified, and although Matloff presents a number of "predictions" that he claims can verify or falsify his hypothesis, he actually presents nothing to falsify it.