Why do people actually believe that anarchism is possible in such a society that we live in today? It's ridiculous. It's a nice but impossible ideal to strive for.
No anarchist believes that anarchism is possible within capitalist societies, rather they argue that anarchist societies themselves (temporary, permanent or semi-permanent) must be just that--their own societies. Of course they would have to interact with capitalist societies, which always makes their existence as such under threat, but this is moving away from your original point.
I also don't think I would want to live in such a society to begin with whatwith the hindrances such a society would necessarily have on advancement of certain fields.
What fields are you referring to? Science and Technology?
If so there is a large section in an AFAQ that covers this:
http://www.geocities.com/CapitolHill/1931/secI4.html#seci49
The short answer: it is not necessary for anarchism to reject technology and science to be anarchistic, but rather, akin to economics, it must transform how technology and science is structured and used for the benefit of humankind:
"Technological change would develop along new lines, ones which will take into account human and ecological needs rather the power and profits of a minority."
Peter Kropotkin, an early anarchist thinker, was himself a scientist and thus advocated not for an elimination of such a field of study, but merely a transformation of it to meet the needs of the newly structured society.
It also assumes that removing a formal authoritative body somehow magically eliminates hegemonic and coercive power.
There is no magic involved. However, this is not to say that it wouldn't be difficult considering how governance becomes internalized by people today:
"the strength of the government rests not with itself, but with the people. A great tyrant may be a fool, and not a superman. His strength lies not in himself, but in the superstition of the people who think that it is right to obey him. So long as that superstition exists it is useless for some liberator to cut off the head of tyranny; the people will create another, for they have grown accustomed to rely on something outside themselves." [George Barrett, Objections to Anarchism, p. 355]
No doubt that it will be a struggle to shift perceptions and actions (As I am trying to achieve here with no success, it seems) but it is doable--consider, for instance, how both chattel slavery and feudalism were removed despite them being naturalized within their respective societies.
Moreover, this strive to eliminate coercive hegemonic power is always-already at play in current societies through the act of resistance and adaptation:
So as well as adaptation to hierarchy, there is resistance. This means that modern society (capitalism), like any hierarchical society, faces a direct contradiction. On the one hand, such systems divide society into a narrow stratum of order givers and the vast majority of the population who are (officially) excluded from decision making, who are reduced to carrying out (executing) the decisions made by the few. As a result, most people suffer feelings of alienation and unhappiness. However, in practice, people try and overcome this position of powerlessness and so hierarchy produces a struggle against itself by those subjected to it. This process goes on all the time, to a greater or lesser degree, and is an essential aspect in creating the possibility of political consciousness, social change and revolution. People refuse to be treated like objects (as required by hierarchical society) and by so doing hierarchy creates the possibility for its own destruction.
More to the point:
For the inequality in wealth and power produced by hierarchies, between the powerful and the powerless, between the rich and the poor, has not been ordained by god, nature or some other superhuman force. It has been created by a specific social system, its institutions and workings -- a system based upon authoritarian social relationships which effect us both physically and mentally. So there is hope. Just as authoritarian traits are learned, so can they be unlearned. As Carole Pateman summarises, the evidence supports the argument "that we do learn to participate by participating" and that a participatory environment "might also be effective in diminishing tendencies toward non-democratic attitudes in the individual." [Participaton and Democratic Theory, p. 105] So oppression reproduces resistance and the seeds of its own destruction.
There is more here, if you wish to investigate this avenue of discussion further or feel that I have insufficiently answered your critiques:
http://www.geocities.com/CapitolHill/1931/secB1.html#secb16
Basically what anarchism boils down to is that "a society made up of "good people" can maintain itself by itself".
No it does not.
For a more exhaustive refutation of this assumption go here:
http://www.geocities.com/CapitolHill/1931/secA2.html#seca216
http://www.geocities.com/CapitolHill/1931/secA2.html#seca217
Some excerpts:
So, to conclude, the creation of an anarchist society is not dependent on people being perfect but it is dependent on a large majority being anarchists and wanting to reorganise society in a libertarian manner. This will not eliminate conflict between individuals nor create a fully formed anarchist humanity overnight but it will lay the ground for the gradual elimination of whatever prejudices and anti-social behaviour that remain after the struggle to change society has revolutionised those doing it.
But this applies to all ideologies and is a fault in all ideologies. Anarchism will fall due to corrupt individuals just as democracy will.
I think it is important to use more precise terminology, as anarchism is democracy in the sense that it would privilege
direct democracy. Thus, anarchism is not in opposition to democracy in general, merely the hierarchical forms of it (i.e. the only democratic right we currently have is too choose our 'vanguards'--this is not enough for anarchists desiring freedom). What Anarchism is indeed in opposition to is the contemporary capitalist system: neoliberalism.