It is very debatable whether Sadam was the chief sponsor of global terrorism
However, we do know Saddam was busy, such as paying the families of suicide bombers in Israel after the bombers have completed their acts of terror.
Saddam was an puppet, just as most other USA sponsored Arab leaders... useful when he had power in the 1980s, useless after his adventures in Kuwait.
The real big terrorism sponsor in the mideast is the government of Saudi Arabia that pays the Bin Laden clan and a few other big fishes to keep their attention away from the royal family (which in their eyes is blasphemous because they allow US bases in their territory).
OK now the media stuff from dcunning, which is a far more interesting tale
Somalia was a media disaster... not because the planning was bad, but because it happened just after the gulf war when everyone believed that the US was invincible (which was about 380 deaths on a force of 600.000, with most casualties suffered by the Kuwaitis and a few nasty blue-on-blues)
Iraq is a mess because the planning went wrong in an early stage... Some big mistakes have been made, and it will take some time to clean the mess up. But one thing is certain... federalism isnt the long term solution.
The main problem with Iraq is that there wasnt enough time and media resources to build a credible 'mad dictator' media image. While Iran usually provides enough material to keep up the western point of view on them, Iraq on the outside looked like a normal western-influenced state, an image that they themselves tried to keep up also (even after 1991). So for the ordinary man, Iraq never looked dangerous or like the police state it really was.
There simply wasn't enough information available that showed the real face of the Iraqi regime while not putting the public opinion or valueable allies in a difficult position. The two major events that could have turned public opinion but were never used in a way that could have turned public opinion in favour of the whole operation (as happened with Kosovo) were:
1: The ethnic cleansing in the south after 1991. This was not useable because there wasn't enough material publicly available at that time, and because it could have been seen as supporting Iran, which was definetly NOT the desired result.
2: The campaigns against the Kurds (1988-2003). Even though this has a LOT more media coverage, it was unuseable for a public support campaign because the involvment of NATO partner Turkey in the area. Any public mentioning of atrocities in Iraq would have resulted huge media attention for the Kurds in general which would have placed Turkey in a very difficult position. Getting the Anfal campaign as a opinion turner might have worked even better, but that would have embarassed almost all sitting european leaders in such a way that a mass government collapse would have been very likely to happen (which is not something you want if you are on the verge of starting a war)
So instead of going for photogenic drama the decision was made to go for the nuke / chemical option... which wasnt a good choice.
OK they DID hide stuff for the UN and they DID experiment a bit with yellowcake, but even the most dangerous installations looked like they wouldnt have made anything dangerous on a short-term basis. And the rest of the chemical stuff was 1980s vintage and such bad quality (some say that this was done on purpose) that it wasnt useable anymore a few months after being delivered.
For the public opinion a photo of a row of bunkers doesnt activate the subconscios mind in the same way as a photo of mutilated bodies or desparate refugees.