I would say that "forcing" interaction is not a correct way of attempting socialization because if a child is forced to do something that they do not wish to participate in, then the outcome is often less than optimum.
I went to high school in the Deep South, it was more or less evenly balanced between black and white. Tribalism was in effect in this "forced" environment, granted this is going to be different from area to area. The black friends that I had were because we shared a common interest/background.
But again, if a parent wants to "force" such an interaction upon their child that is homeschooled, then chances are there would be ways of achieving that with after school programs. My local YMCA didn't turn away black children at the door for example.