I'll probably get a bit of flack for this, but I think Tohei's model was flawed. Not that I am dismissing Tohei, his abilities, or anything of that sort. I think what he did at that time was probably the best he could do given the circumstances, but I think that the way that he separated the "ki" from the "martial" was a flawed approach.
Actually, Tohei's approach did not take Ki out of his techniques. Granted, he did take Ki to another perspective outside of that, but Ki was always a central focal point with all of his martial techniques. At least that was the way it was when I first trained in the early day's of the Ki society back in the 70s.