At their core, today’s liberals have the same racial attitudes of the abolitionists that so disturbed Douglass.
They are effectively the same people. Mostly well-to-do urban Liberals that the rest of the country regarded as "kooks", as were abolitionists regarded in their day.
As Charles Dickens said on the subject:
"Every reasonable creature may know, if willing, that the North hates the Negro, and until it was convenient to make a pretense that sympathy with him was the cause of the War, it hated the Abolitionists and derided them up hill and down dale. For the rest, there's not a pins difference between the two parties. They will both rant and lie and fight until they come to a compromise; and the slave may be thrown into that compromise or thrown out, just as it happens."
And for what it's worth, Charles Dickens was very anti-slavery.