Not the corporate global government we have today under the General Agreement on Tariffs and Trade or the World Trade Organization, where unelected officers can strike down national and state laws.
A real one, with an elected legislature.
And access to a common market for those democracies that choose to participate (so we might move some of the undemocratic world, like China, to embrace some of the best of the West, like private property and democracy).
The United Nations was set up in the 40s. It's time for a new global government. And seeing all those nations uniting in Beijing just makes it seem natural to have a government that reflects all those people that can put corrupt local officials in jail, spread literacy and improve the standard of living, particularly among the poorest on earth.