Run him over and run over him have distinctly different nuances for me.
Run him over has clear and malicious intent (to damage with a vehicle)
Run over him, absurdly, admits the possibility that itthe incident may be for his own good/enjoyment, or at the very least an accident ... (a simple description of an action, without implied intent)
So, a 'bad guy' will try and run someone over. A 'good guy' may run over someone by mistake.