In that case, then, these were my thoughts. They're pretty sketchy.
If Saddam had invaded a year later (and the Gulf War had taken place in generally the same fashion), George H W Bush would be able to ride his astronomical approval ratings through the '92 election. Republicans in both houses of Congress ride his coattails to a majority.
In the '96 Republican primaries, Colin Powell defeats Dan Quayle and later defeats Mario Cuomo in a landslide. Senator Richard Lugar of Indiana is VP.
In 1998, after a number of Al-Qaeda attacks around the world, President Powell proposes military action against the Taliban in Afghanistan to the UN Security Council, which drafts authorizing its removal.
Later in 2001, after Powell's re-election against Dick Gephart, it was discovered that Kim Jong Il of North Korea had gone back on agreements made in 1995. In 2002, after a year of diplomatic failures, the 1953 armistice was revoked and UN forces crossed the DMZ, supported by Chinese and Russian troops from the north. Kim Jong Il launched nuclear missiles at Seoul, Beijing, Tokyo, Vladivostok, and Seattle. The last of these was intercepted by the US missile defense shield.
I do have some blanks that need to be filled in: like what happens 1992-98, other than elections.