For much of it. Along with U of U administrators.
Lead by example. Ancient Chinese proverb - the fish stinks at the head first.
Whether Kyle understands it or not, what example and message does it send to his players and all Ute nation, with his anger, hatred and contention? It gives them all license to hatred and anger. It shows them, they don't need to have restraint. They don't need to handle things the right way.
Reality is, this rivalry will not diminish in its toxic hatred, until Kyle is no longer a part of it. He's set the main and worst example, from the inception of his HC career there.