Again the 6 post deep warning, so I'll put it here. ( it's not really as short as I hoped it would be :)

To make it clear
We are talking about a distant dreamworld (in time) here where everything is how you want it to be.

//No, the functions of gov't are done by the folks that need that work done, or not at all.
Vigilante neighbors tend to pacify neighborhoods, so need for cops.
Everything is free, so no need for social workers.
Accounting is done for reorders and by robots, so no accountants or cashiers.//

Ok fine maybe that will be the future could be.

//The honor system and reputation will keep most people in line, and criminals will suffer at the hands of their victim's friends.//

Here it's really important what the deffenition of criminal is. (a criminal according to law's or according to the NAP) I'll get back to you  later by the illegal part of your story. 

//Yes, I know, that can get out of hand, but is what we have now where the killing is done with impunity by cops better? //

I would answer no, if I imagine your world but i'd have to know more. I can not predict the future.

//You can do as you please, if you want to trade your widget for somebody's gadget and that is agreeable to both, then feel free.//

I don't care about gadgets and widgets. But if other people want to have them fine. You are painting me as some kind of immoral greedy human being which I'm not. It's just about principal for me.

//But, if you feel like starving kids in Africa and bombing kids in Syria because your bottom line needs enhancing from last year, that is an issue to be addressed by the locals in the local customary manner.//

This is the same as the above. I'm not the human you paint in this picture. I am an anarchist because I always had the question; why is there war and poverty?

//Towns of like minded individuals will spring up and you will not want to associate with some of those, and they will be free from your disdain.//

Again I have no disdain for towns or people whatsoever the opposite is true. I could live in such a town since I do not choose to sell whats mine for money, since I do not choose to use the drugs that I have the free choice of putting the in my body and I don't choose to waste the fruits of my labor because I choose it's not a smart thing to do. So I could be perfectly adjusted living in such a town.
With one but.

//Prostitution is illegal, it won't be.
Drug dens are illegal, they won't be.
Gambling halls are illegal, they won't be.//

 Here I get back to you about the criminal part, and the one but.
There is no such thing as legal or illegal, who decide's. This is how the authoritairian thing starts.
Example; prostitution is illegal. (and I am just talking about principal here)

Who are you me, or anybody in the world for that matter to decide, for someone that want to voluntarily sell his or her body for money and the other person is voluntarily participating. 
Who am I, you or anybody to violently stop the transaction of two consenting human beings, taking place, And the big question is who gave me you or anybody the right or the legal permission to call things legal or illegal. And force people to not do things I or you declare illegal.

There is no such thing as legal or illegal, or rights or obligation's. Where did the mortals that give people rights an obligation get the right to do that...god?
Where do mortals who declare things to be legal or illegal get the legalety to do that….god?
Of course some will say that god gave them that right (kings...apointed by god, christian refer to their god and it's commands, muslims ..the same….. , democracy has the majority god what the majority things is legal is legal. The communist have a similar idea “the collective” with it's “common good” but what is good for all is written down by humans and only humans. These are all collectivist systems where there are laws written by a few mortals that say they can speak for concepts (god, the majority, the collective, or the earth) the are no humans who can speak for them or proof they know what is best for all, because they say so.
That has always been the cause of war's/democides big and small. Us being good, them being bad and violently forcing them to be good according to our laws, rules, god, ideas of legality and illegalety.

//But none of those will be in a neighborhood that won't tolerate them.
If that is not your scene instead of sending thugs to kill some people we will allow them to live over there in peace.//

Sending thugs...you mean cops…...I'm an anarchist why in the world would I send cops to people who harm no one but themselves. (that's when they don't steal aggres murder etc.) If the "cops" I hired did that I stop paying them hire others to stop them, or have to stop them myself because they would be agressing against peaceful people .

//We will freely disassociate ourselves from them, and they with us.//

That would be the good thing to do, if you would ask me.

//Most of the problems of the world can be solved by simply ending the elephant in the room, rule by force. //

Yes, ending the rule by force.

There has to be an “over there”  for every ones enemies, That is what I mean. (and you are telling me you willing to let them have it but I feel a little disdain ;) but that doesn't matter as long as you don't force them
Live and let life, tolerate others that are repulsive to you but do not harm anybody, the people who live under different system will automaticly search for a freeer system or their idea thereof. 

You live in the communistic community (or what you choose and praise your god, christians live in theirs with their god. Muslims with theirs. Cult member live somewhere and follow their god, the guru or cult leader. People who like a dictator to be their god can choose to live by their dictators rule. And non believers live with each other with no god, or they live somewhere and abide by the rules of that god. But what would be very nice, if I can dream for a while, would be that all the people in the world would be free to leave the town and not held prisoner or be murdered for having another beliefs system. That all people would know about the non aggression principal.

Follow the god's guru's priests, politicians, communistic leaders you all want but don't make me follow, I follow no one but my conscience, and I may need betterment but I will only get that through experience, not by someone telling me that is good, do that. I must figure out what I think is good or bad and act accordingly to recognize what is good or bad and adjust, no one else can replace my conscience…...ever It's my tool.

I think that prostitution drug use and gambling addictions like consumerism materialism will become worse if you make them “illegal” 
cause you create an enemy where there is probably a victim or some kind of trauma. I think talking to them (or even ignoring them) would bring more to change their behavior that you find repulsive than making it illegal and punishing them. I believe that all the authoritarian punishing in their childhood (which continues in their adulthood by the state) might be the cause of their trauma and addiction.

I'll leave you with a link to a little movie the philosophy of freedom.
And with the remark that this is what I believe to be true, I live by that philosophy first. All else follows from that basic principle. Al my permaculture practices, sharing with neighbours (p2p), helping if they ask help, if I can give them the help they need, and try to learn them if that's possible how to help themselves, agorism. All things that would probably perfectly fit in a town you have in mind. But it all stand and falls for me with that basic principle. Which I call (for myself)the NAPP 
Non Agression Personal Principle. 

https://www.youtube.com/watch?v=OtBBFBYFNqs