The real-time information provided does not contain any information about what would have happened if Stephen Douglas had won the 1860 election. However, it does mention that Stephen Douglas was a leading political figure in the coming of the American Civil War. It also mentions that the election of 1860 was a pivotal presidential election that brought Abraham Lincoln to the White House amid debates on issues of slavery. Therefore, it is likely that the outcome of the Civil War would have been different if Stephen Douglas had won the election.