This is a great question for a discussion post, where you will get a variety of responses.
While it is true that we do have a divided political climate in the nation these days, let's not forget that it was much, much worse in 1860 when Lincoln was elected. Before Lincoln could even take office, the country was literally splitting apart as states voted to secede. I don't think we'll be getting to that anytime soon in the modern day.
Lincoln was "elected" with 40% of the vote, as there was a four person race for the President in 1860 among Lincoln, Breckinridge, Douglas, and Bell. Lincoln received more votes than any other candidate, but nowhere close to a majority. So not only was the country divided, but Lincoln was very unpopular in his day. Even after the South left, Lincoln was quite unpopular in the North. He fully expected to lose the 1864 election to George B. McClellan.
It was not until quite some time later, and of course, after Lincoln's assassination, before historians would accord him the mantle of "Greatest American President".
All of this being said, we haven't made the job of President very attractive to prospective Lincolns. The pay stinks (compared to other jobs for that caliber of person), the media circus denies you much of a private life, and the job is so demanding it is sure to age you. There are surely Lincolns out there to lead us who may well not want the job.