ANSWER
No one is attempting this, though it would probably be a good idea.
No member state of the United Nations would attempt this, as it would inescapably tie their own national interests to those of others. No state is strong enough to totally control the planet.
ANSWER
Few people are openly promoting a one-world-government. However, it is on the agenda of many people.
Many communists support a one-world-government, as well as a one-world-race, which is why they tolerate miscegenation.
Some capitalists desire a one-world-government, for profit purposes.
Anarchists and anarcho-syndicalists promote one world with no governments.
It will be hard to create a one-world government at the moment; the rift between the Islamic World and Christendom will prevent a one-world government from happening any time soon.