Well, no.
Lincoln was the nominee of one of the two main parties.
Two other “third parties” split off part of the support of the other main party, ensuring Republican victory.
Just as one or more truly effective conservative 3rd parties would be the most efficient way to re-elect Obama.
No, Lincoln was the nominee of the new Republican party (only one nominee prior to Lincoln, Fremont, I believe.) The established parties were Whigs and Democrats.