Not hardly GHWB left Saddam in power and abandoned the Kurds after he encouraged them to revolt.
Well, as far as I know, our objective in attacking Iraq was to get Iraq out of Kuwait. We won at least in the sense that we achieved that objective. As far as I know our objective going in was not to overturn the Iraq government, but get Iraq out of Kuwait.
Is it up to the United States to invade oppressive regimes? No IMO. Sharp intelligence, support of freedom fighters, and clear purpose to stand against invasion of other countries by oppressive regimes - those are the means IMO for the U.S. to deal with oppressive regimes. As far as I’m concerned we are out of bounds invading a country unless a direct attack or clear and present danger of an imminent attack to the U.S.
So, IMO, after 9-11, the invasion of Afghanistan was justified becasue of Osama B-L, but not the invasion of Iraq. Nevertheless, I think we did win the Desert Storm II in Iraq, muddled policy notwithstanding.