Really, So they could have gone wandering around the stage to give their rebuttals? Walked over to their opponents? Really? That sounds like something that would happen at a seminar or rally.
Yes, they shook hands at the start of the debate.
When they shook hands, they were both away from their podiums.
We heard what was said.
People have wandered from the podium at Presidential debates before, so I assume it’s something they need to be prepared for.