I never said that state would not be engaging in compulsion and coercion. These "features" are inherent to it, that's what makes such an institution a state. My point, actually, boils down to two things which I expand on in detail below
Firstly, state is just a somewhat embellished form of exploitation and expropriation that one small group of people promotes towards the rest of population. Why that group of people would ultimately have to restrain themselves from looting the population, I had explained in my posts before
Secondly, states evolved naturally from the initial condition very close to what you call here anarchy. Because of the universal character of this phenomenon throughout the world, I find it very dubious that anything like anarchy has even a remote chance of materialization or persistence in reality
Your first point is ludicrous: you're asking an entity with the power of God
to constrain themselves. Chances are, as they always have, they will say, "No, now pay your taxes and stop complaining."
Your second point lacks insight; the state can only exist if the general population is blind enough to believe in it. Never before in history has information been so readily and easily available, with people having so much more free time; likewise, the number of liberty-minded people is ever increasing and libertarianism is gaining a lot of traction. The state can only exist so long as it is deemed necessary; as many of man's inventions have become discarded, so will the perceived need for ulterior governance. Simply because rape has occurred all throughout history doesn't mean it should be an accepted norm.