"... But Judge Douglas is especially horrified at the thought of the mixing blood by the white and black races; agreed for once- a thousand times agreed. There are white men enough to marry all the white women, and black men enough to marry all the black women; and so let them be married..."
There are many black men who should and are supposed to marry the black women, and many white men who should and are supposed to marry the white women. And it is thought negatively if a white women got with a black man, or a white man got together with a black women, because they shouldn't be mixing the blood of different races.
"In 1850, there were in the United States, 405,751 mulattoes. Very few of these offspring of the white and free blacks; nearly all have sprung from black slaves and white masters. A separation of the races is the only perfect preventive of n amalgamation but as an immediate separation is impossible the next best thing is to keep them apart where they are not already together."