And double lucky that it wasn't Algore.
Hell, even the Democrats were privately happy that it was GWB who had to deal with 9/11 and not their guy...
Were we? Politically, 9/11 was the best thing to happen for W. It drew the nation's attention to the terrorism issue for several years and drew its attention away from many other things W was doing. It also made him much safer and comfortable in 2004 compared to John Kerry or any Dim.
Without 9/11, I don't think W would have been reelected. He won only by a close contest in Ohio. During his second term he mostly insulted the base and frittered away Republican majorities in Congress, resulting in the disasters of 2006 and 2012 which put Obama in the WH.