My take on the author's logic is that the UN restriction placed on the Gulf War resolution created the situation we are in today and we would have been better off ignoring the UN in 1991.
Fast forward 12 years. Now, we don't give a damn what the Russians say. We have grown massively more powerful, while they have waned tremendously. In fact, if it weren't for their nukes, they would not give us much trouble. Unless we attack them directly, they won't start a war with us. Hell, the states on their border that were in their Warsaw Pact are now part of Nato, and, until they started jacking us around on this Iraq war, there was talk of making the Russians allies, too. (We will eventually need an alliance with Russia to deal with China.) So, it's a much different situation.
Now, since we don't need the Russians, we don't need the "good offices" of the UN to help us put together a coalition to get Saddam.