I'm thinking that this was one of the additional reasons for this Iraq war....specifically to refute the Somalia arguments.
I think it has had that effect, and I hope that the Chinese will take note of this.
As to whether it went into the list of goals before we initiated planning and executing the Iraq war, I myself would be very surprised to find it on that list.
I hope that they also noticed that Japan has actually sent troops to Iraq. Japan's government I think in general is more concerned than ours is about the China situation, which makes sense seeing how physically proximate they are. It is due to the PRC's and the DPRK's provocations that Article 9 of the Japanese constitution is likely to be revised (or if the present situation escalates, it could even be repealed.)