Cute. The Holocaust was our business. Why? Because Woodrow Wilson involved this nation in a war that was none of its business 20 years prior, creating the vacuum in Germany. We had to fix the situation that we helped create. However, if FDR had not attacked Japan economically in the mid 1930s, Japan very well may have been used against Germany instead of joining the Axis powers against the Allies
Well by that standard Saddam was definitely our ongoing business - at all times from 1991 on! - because of what George H.W. Bush involved us in in 1991 and the subsequent cease-fire. (Not end of war; cease-fire.)
In fact the link from the '91 Gulf War to Saddam being our business in 2003 is far more direct than the link you're talking about between US entry to WWI -> the WWI peace settlement -> Weimar -> Hitler & the Holocaust.