Not all breeding fish beat the pants off eachother constantly. You may find that your newly introduced convicts are sorting out dominance and territories. Yes, they are Convicts, yes, they do breed like rednecks, but they're still Cichlids so let them work out their differences. I had a Male Firemouth constantly harass a Female for about 2 weeks before I woke up one morning to watch them trying to start fights with every other fish in the tank; they spawned the next day.
If it continues for more than fortnight or so I'd consider taking some sort of action.