I don't think control on this level is required. Our goal should be 190 "little Americas" all trading freely with each other. Federalism on a global scale.
To that end, I agree with the earlier comment regarding setting each nation up with a Constitution similar to ours, then stepping out of the way. If it fails, which some inevitably will, time enough to try again 15 years down the road...some will succeed, however, and move each toward government of, by, and for the people.
First, scattered through those 190 nation states there are approximately 1500 distinct cultures and languages in existance today. The vast majority would be completely unwilling and/or incapable of handling a system of govt. like the US.
Hell, the US is incapable of adhering to it's own Constitutional principles.
Second, the USSR encompassed 11 time zones and about two dozen languages and cultures. The only way it maintained control was by stationing troops of culture A in the territory of culture B. This system worked until the USSR collapsed and you know what has happened and continues to happen since.
Third, the US simply does not have the moral authority to impose it's will on nations who are not out to harm us.
Regards
J.R.