Of course there are things wrong with the world; plauge, disease, genocide. We all agree on that, no?
Here's where the problem comes in, though; tell me, what is "right"?
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This whole issue touches on something my grandfather once told me; "Son, once you've lived as long as I have, you learn that the only difference two people can truly have is what they belive." You may belive that you can solve everyone's problems by uniting them under a global threat, but the person beside you may belive that a threat is not enough; people need to be dominated, ruled over by a god-like figure, because at the end of the day, people are fucked up.
And so it goes; you may create what you belive to be a perfect society; however, this society happens to be a republic with massive value on the worth of the individual. I know near a billion people on one side of the globe who would disagree with you on that point, and call you a pig. Or you could create a facist government where everyone is so afraid of the reprocussions of their actions that they are unwilling to do anything; I know near a billion more people on the other side of the globe who would disagree with you on that point, and call you a terrorist. Or you could create a society with no rules, no leadership, just people being people and living their lives the best they can; hovever, I'm sure near every government in the world would come after you at that point, and you would be wiped from the face of the earth.
Also, ask yourself this; you're asking about how to create a perfect society, right? This is rather unfeesable; people are not perfect, therefore nothing that comes from them can be considered perfect. Ask yourself this; would you trade a society where a lot of things are fucked up, but they can be solved for a society where everything is fucked up, and no one can do anything about it because they don't know?
I belive that strife and turmoil are part of mankind's better nature; not all people can be brave, not all people can be strong, not all people can stand up for what they belive in, but when you press them, the strong, the brave and the idealistic never fail to rise to the occasion.
Apologies Abound