The only way to "control" a government service agency is to make them Mortal, to subject them to a profit/loss test.
And we should also point out that under the state, the profit/loss test is reversed.
A business entity which succeeds is given money and market share and more power. A business entity which fails is given less money and market share and power, and with enough failure, that entity ceases to exist altogether.
A government entity which succeeds is given LESS money and power. A government entity which fails is given MORE money and power.
The state is set up in a way that incentivizes failure. So some of us aren't really surprised that it fails.
Force doesn't work that way. You can't shop around for it. If I'm accused of murder I can't pick my government service provider. It picks me. Whatever group has the most force in a given area is going to force me to resolve the issue. The group that has the most force is not going to ALLOW me to pick the arbitrator in a dispute.
But just stop and listen to yourself.
First, so you're accused of murder - so what?
The way even our half-baked system is supposed to work is that an accusation doesn't mean shit until evidence is gathered. You're supposed to be able to shrug off all sorts of accusations until someone actually has a case against you. But you've been so conditioned by the state that you appear to be on board with the idea of shoving people around based only on accusations.
More importantly, you let slip an important part of your worldview, one which anarchists don't share at all.
You fundamentally believe that people are animals who would be running around murdering each other if not for the state threatening to force them to deal with it if they do.
We know better. People are overwhelmingly peaceful and resistant to violence.
There is a demand for peace.
There is therefore a market for peace.
If you don't fundamentally believe that markets work, then fine - but you probably don't belong here.
If you do, however, then you don't get to pick and choose. You don't get to say healthcare has to be covered by the market, but justice can't be, and still claim that you're philosophically consistent.