I really don't think any president could have convinced congress, industry, and the general population, to gear up for a war they fully intended to stay out of, if at all possible.
Hard to promote a big (and fast) build up when it was all so far away, so abstract, and everything moved slower. It, at the very least, would've taken a hell of a PR campaign.
Bottom line.....no, I don't think much would have changed with Bush there.