You don't get the "slavish devotion" because you have a fundamentally different view on what "the state" is. The state, in my (and our constitutional) view is the collective of the people in it, and all the power the state has is given to it by the people. It's not just a faceless menace tht exists outside of the people. The state has to have a monopoly on violence to work for all people in it, to ensure that due process and equality exists. The division of executive, legislative, and judicative power is there to ensure that not one entity can absorb all the power. Modern constitutions have a lot of precautions to prevent a quick descend into tyranny.
In case you got a case of bronyitis and don't remember it, I'm against gun control and I agree with an armed populace as a precaution against a tyrannical government, but that doesn't mean that the populace should also decide about law and punishment on an individual basis. It's the absolute basis of democracy, and while I get the appeal of anarcho capitalism, I don't see how it would lead to anything but a complete shithole.
The state is not the people. It may have people in it, but it is absolutely not "the people" or any collectivization thereof. The state is a class apart by design, it is effectively a secular caste system. The bloody Soviets used the same reasoning of "The state is the people" in order to enact horrific violence using state apparatuses against numerous individuals - "in the people's name", of course. This is not a dysfunction of the state, it is a logical evolution of its actual purpose. The power the state has is not given to it, it is surrendered to it at gunpoint - you, the common man, are never in a position to negotiate and your consent is absolutely never mandatory. To say the state is given its power is to say you chose to give that mugger all the money in your wallet - it elides and obscures the nature of the matter while preserving your pride and little else. Democracy in this case (and specifically in the case of the United States, insofar as it could actually be called any kind of "democracy") is a tool OF the state AGAINST the people - individuals are given the illusion of choice between two (or more) parties, neither/none of which ever actually have the interest of the common man in mind, and then made to feel personally responsible for any and all results, allowing the state to effectively pass the buck by saying "Well, YOU voted us in, so you deserve us :^)". This system also serves to keep people constantly divided against one another, and we see this ESPECIALLY as of late where embittered Hillary voters treat Trump voters (and Bernie voters) as the scum of the earth, venting as much hatred as they can upon these people because it is absolutely safe to do so - the Trump/Bernie voter doesn't have a Secret Service or bodyguard retinue, after all. Nothing here is the result of any sort of happy/unhappy accident or "quirk" of the system - it is DESIGNED to keep you stupid, complacent towards the idea of a state and yet deliriously angry at, of all things, your fellow countryman/woman.
There is something often spoken of as "The Social Contract". A contract you never see, never put your name to and yet you are inextricably bound by. "The Social Contract" forms part of the backbone of statist thought. It very loosely establishes rules and obligations which can never be effectively opted out of. Euphemistically people say it just states "Don't be a dick". Why do you think people need a reminder to not be dicks? If people were completely predisposed to dickish behavior we likely wouldn't have made it past the stage where man first figured out how to bang rocks together in just the right ways to create tools and fire. We are a cooperative species first and foremost (and criminals that deliberately harm their fellow man are by their nature defective in one or more senses as a result) that literally evolved to get a neurochemical HIGH from being nice to other people. The very idea of The Social Contract is redundant at best and outright misanthropic at worst.
On a semi-related note - did you know that police actually have no duty to protect you? See Warren v. District of Columbia. So you're surrendering the ability to terminate threats against your life, liberty and property yourself, however you see fit for... nothing, really. This is the state laughing in your face. This is the state reminding you that you are disposable, peon. This is NOT the state doing what you thought it would be doing when you supposedly "agreed" to give it power.
Also, I'm going to ask this AGAIN: Is it better when the state fucks you in the ass than when John Q. Average does it?