But Dumac didn't know what Kagrenac was doing. Doesn't that imply Kagrenac was doing something the Kingdom didn't sanction? Meaning, of course, that they were not of one mind.
Doesn't this quote from Yagrum also support the conclusion that they were not of one mind?
The dwemer were not unified in their thinking. Kagrenac and his tonal architects, among them Bthuand Mzachnch, believed they could improve the Dwemer race. Others argued that the attempt would be too great a risk. The war with Nerevar and the Dunmer may have led Kagrenac to carry out his experiments prematurely. Although this book argues that nothing disastrous could result, the disappearance of my race argues otherwise."
He makes this comment when presented with Divine Metaphysics and The Egg of TIme, for those who want to look it up in-game or in the CS.