If public opinion still endorses military action that's one thing, but if they wait maybe it will not. So it's not only impatience, but there are several other factors.
I can imagine that the Iraqis undertake the destruction out of fear. If they had denied it, if they had said no, that certainly would have played into the hands of those that would like to take armed action immediately. I have no illusions in that regard.
I found it peculiar that those who wanted to take military action could - with 100 per cent certainty - know that the weapons existed and turn out to have zero knowledge of where they were.