Nope and nope. That is, (first) when you have a global economy, you don't have global agencies to govern it; and, (second) an economy is not what a government is based on?
Taking the second part first: A government exists to secure our rights. Period.
What in the world does the purpose of a government have to do with what enables it?
As for the first, all that is necessary for worldwide trade is enforceable contract law and private property protection. You actually need more government interference to REGULATE trade; with free trade (i.e. no tariffs, no quotas) you don't. Regulate trade, regulate everything else... sure.
Oh? Who enforces that "enforcable contract law and proterty protection"? The regulatory agency of a particular country? Which country?
And here I thought the WTO stood for "World Trade Organization". 