I'm not privy to Bush's thoughts or the thoughts of Germany's and Japan's leaders, who fully funded Desert Storm, along with the Saudis and Kuwaitis. However, I suspect it had little to do with morality and everything to do with history. Muhammad started out as the leader of a band of robbers. By the time his generals of the Rashidun caliphate were done 50 years later, a good chunk of the Byzantine and Sassanid (Persian) empires were under Muslim rule. The principal reason for removing Saddam from Kuwait was to prevent him from going on to unify the oil resources of the Middle East under his rule, which would have given him the ability to dictate (very high) prices to the world.
Apart from oil, it was to our advantage that 400 million Muslims weren't unified under a single ruler. It was the same logic that guided our decision, on the eve of our entry into WWII, to support China against Japanese invasion, despite the fact that the Communists were allied with the Soviets and the Nationalists had allied with both the Soviets and the Nazis. It made little sense for us to stand by as the Japanese empire prepared to add to its ranks 400m new subjects who, in time, might become every bit as fanatical in their devotion to the goals of the Japanese empire as their conquerors. The Koreans and the Taiwanese who fought in Hirohito's service were certainly indistinguishable from the Japanese in their devotion to the cause of the Rising Sun - Japan's rule over Taiwan and Korea since the Treaty of Shimonoseki in 1895 had been largely beneficial to the populace, and the native draftees reciprocated by serving loyally in the Imperial Japanese forces.
This is a very flawed statement. Iraq, Kuwait, and possibly Saudi Arabia do not add up to 400 million. Another big flaw is thinking that one Muslim ruler (for which Saddaam was not as he was a Ba'athist) is going to make his followers coherent. Saddaam could not make the Shia and Sunni members of his army fight effectively. It is actually better that he waste his resources tying to make them work together. When Shia Iran was at its weakest, Saddaam could not make his Sunni-Shia military beat Iran.
We are the ones now wasting our resources.