[madaxe]

That's not a strange point. That's the way it should be. The military represent the people. The government represent the people. The police/law enforcement agencies represent the state-sanctioned violence of the government's legislative branch. Note that this does not mean that the military represent the government. This has come to be the case in many western democracies, but has not always been the case.

Military coups are the outcome of a disconnect. Whether that disconnect lies between the people and the government, or the government and the military, varies.

But fundamentally, no, the government should not trust the military, nor the military the government, as the two should be at odds, for otherwise the military have no distinction from the police - and the police no distinction from the military - and then you find yourselves in a scary place indeed.