While subordinates may owe you a measure of obedience by virtue of your position, they owe you no respect save that which you earn by your daily conduct. Without their respect, your authority is meaningless. Opposition Force is force, intrinsically neutral, good or bad only with respect to the ethical and moral content of the purpose for which it is used. Opposition is merely force negative to your purpose. Redirect its force in accordance with your purpose, or redirect your purpose to utilize its force.
Indifference alone is useless.
Avoid it like the plague, both in yourself and others. You are right, I am wrong. Never confuse activity with productivity. It is not what goes into one end of the pipe that counts, but what comes out the other. Everything except pure thought and pure action is infected with activity, not productivity.