Not a chance in hell militarily. We just don't have the resources, budget, or population to sustain a global dominance of that nature. Economically?
For a time, perhaps, but the economy is a highly chaotic system that is ultimately dependent on social infrastructure for it's emergence. One of the
first figures to come out major disasters and disruptions of infrastructure is how much the event cost in terms of both actual damage, as well as lost
revenue. I don't think long term economic dominance is ultimately sustainable. Politically... well... that depends on our military and economy.
However, I ask, why would America want to take over the world? Aside from the problems of sustaining such a one-sided empire for any extended length
of time, the US actually stands more to gain from allowing other nations to flourish on their own - because social and technological advancements
pioneered in one country do not generally stay in that country alone. The shift away from Industry to Information as the prime driver of a nation's
prosperity has allowed any small nation without substantial natural resources to grow and prosper economically and technologically, and the resources
to build those technologies outsourced towards developing nations - shifting them from Agricultural to Urbanized Industrial societies - building their
social infrastructure. This results in lower rates of poverty, better sanitation, greater healthcare opportunities, and less warfare both internal and
externally.
As Robert Wright put it:
If you ask me why don’t I think it’s a good idea to bomb the Japanese, I’d say, “For one thing, because they built my minivan.
Because allowing independant nations to develop and maintain a sovereign infrastructure to better the lives of their populace, and having the success
of that infrastructure strength tied economically to trade and finance with other nations - it decreases the likelihood of full out war that would
only damage both nations in the end, because they rely upon cooperation with each other for their own prosperity.
It may seem like a horrible mess to the citizen on the street, but surely it's better than expansionist policies and living at the point of a gun in
the nuclear age. The shape relations have taken between the US and China today compared against how our relations with Communist Russia were 50 years
ago (to say nothing of how China's ideological concept of Communism today compares to when the Communist came to power) is (IMO), far preferable.