Politifact is not a reliable source, especially with respect to 19th-century US History.

Lincoln clearly wanted to deport blacks from the US after the War.

And Booth managed to murder the man who could have treated the South much better than the Bloody Shirt Republicans ever did.  Lincoln probably would have treated the South with charity rather than malice;  consequently, many of the problems extant today would not have occurred.

See his speeches also.  Especially in Southern Illinois Lincoln went to great lengths to express his general disdain for blacks. The political Lincoln tempered that view when he spoke to audiences in Northern Illinois.

The Emancipation Proclamation also showed Lincoln's political dexterity.  He used that decree to kept the French &
British from recognizing the South.  But he only proscribed slavery where the Yanks did not have control.  Where the Yanks were in power/Border States slavery was kept legal.

Lincoln was a good politician and a blatant racist.