There were never any large scale rebellions in the South by slaves even during the war. A couple of well publicized ones which were actually very minor.
They weren't allowed to read or to marry or to have control of their children, and were brutalized if they put a toe out of line. Amazing that the human spirit managed any rebellions, like Nat Turner, under such circumstances.
BTW, American slavery was more repressive than slavery as practiced in South America, where families were kept together as a rule, for instance, as the Catholic church insisted on marriage there.
I think only Muslims still practice slavery legally now.