As the quote implies, once we humans have learned that we are not alone in the universe, we will be able to pull together to end war, poverty, disease, crime and probably a majority of the world's other unpleasant elements.
Think about it. A planet depicted in both Star Trek and Star Wars exists as a single political entity; the entire planet is one nation, not divided into numerous independent and warring governments. Here at Dillon & Friends, this is a dream come true: to have the people of our earth put aside their cultural and political differences to come together to work for the advancement of the earth is a whole. In Star Trek, Earth is portrayed as a utopia, a condition enabled by a state of abundance and cooperation. On Earth, war and poverty have been eliminated, and individuals strive for self-betterment rather than fiscal remuneration. In fact, money in the modern sense is rarely used and not needed for everyday life.
If the ideal goal of world peace is to be achieved, then the attitudes of all people on this earth must change. There are no Americans, or Polish, or Chinese. There is only "Earthian". We are all the same race, the same species, the same people. Our selfish pride and arrogant ambitions are what built the current barriers that divide the citizens of our earth and drive our people into disagreement and disorder.

Although I agree with you in your hope for a peaceful, better world, I am not convinced that Star Trek is an optimal example for such a society. There are still nations and wars and prejudices and sufferings; they have just been expanded to an interplanetary theater. The Klingon are apparently viewed as being barbaric and inferior; the human prejudice towards them in not even remotely masked by any courtesies or politeness. The Romulan, too, are at war with the Federation and apparently the two have engaged in large battles. In "The Drumhead", the visiting admiral committed egregious acts of juidicial injustice and violated numerous Federation rules so as to pursue her hunt of supposed spies and traitors. Star Trek society seems to be like any other human creation: flawed and imperfect and in need of much work. We ought to stive to improve our society, to improve our lives, yet we must not delude ourselves into thinking that we may achieve utopia on our own. To err is human, and human we shall ever be.
Although your thoughts are quite stimulating and exciting to think that this could actually exist, I would have to agree with Shingo Yamada's Confidant. There is only peace on Earth in Star Trek because of an intensely violent and nuclear WWIII. As for the economic equality, those on ships likt the Enterprise are funded by the Federation. I guess we could draw a parallel to NASA funding today's astronauts, and we don't really see astronauts spending a lot of money for NASA's objectives.
We can also see in Star Trek that even within races, there is conflict. The Romulans are directly related to the Vulcans, and yet they took part in a hundred-year war.
I do agree that, in order to achieve the common good for Earth in the long run, equality and the promotion of the Human Race must be stressed in all capacities.
We may all be the same people, but every person has a personal motive. Let's not forget that, friends.
Your beliefs are interesting. I believe that wold peace is nonexistant for a different reason, though. I believe people are naturally born with an attitiude of survival of the fittest. I feel thats why people have not come together as one
-Storkafork