We can mop the floor with any military on Earth. But destroying a regime just creates opportunities for terrorists to fill the power vacuum, like it did Lebanon, Afghanistan, Somalia, the Sudan, and in Gaza and the West Bank.
The approach the President took was to create a dying place for the jihadis (over 20,000 of ‘em so far in Iraq alone), and, at the same time, try to build a democratic secular Arab nation in the ME, proving that such could, in fact, exist and endure. This, in turn, puts pressure on other ME nations to change.
Dunno if its going to work, but it seemed better to President Bush than repeated wars, possibly followed by terrorist retaliations.