In reality, Lincoln was what we would today consider a white supremacist. He spoke out several times stating that he did not believe in the equality of all races, and to the extent that he wanted to abolish slavery at all, it was only as a means to get all African Americans colonized elsewhere so that he could maintain a white America. As late as August 1962, he stated bluntly in a letter that his objective was to stop secession and NOT to end slavery. Here is the exact quote:
"My paramount object in this struggle is to save the Union, and it is not either to save or destroy slavery. If I could save the Union without freeing any slave, I would do it; and if I could save it by freeing some and leaving others alone I would also do that. What I do about slavery, and the colored race, I do because I believe it helps to save the Union."
As far as getting the 13th Amendment passed, he actually did not pressure other politicians to support it. It worked the other way around...HE was pressured into supporting it. In his inaugural address, Lincoln actually voiced support for a different proposed 13th Amendment which actually prohibited the federal government from interfering with slavery at all.
*Correction: As late as August 1862, not 1962.