I kind of like the outcome of this dream of yours. It would be nice but aren't you talking about America taking on the entire non-Western world all at once? We got our plate pretty full with our war on terrorism which will take years to complete. But it seems to me that America over the decades has been very successful in influencing many countries to get rid of their ruling monarchies and replacing it with democracy. As long as America prospers, America will be the model other countries will want to follow.
No, I don't think we should take on the world at once. We should state our case to the world, and support our case by all means at our disposal. We should stop supporting regimes antithical to our views.
BTW, how do you eat an elephant? -- One bite at a time.