So again, sans religion there is no reason not to steal if you will not be caught?
Who's talking religion? We're discussing morals, irrespective of their roots or source. There is a possible argument to be made that the fact that this edict against stealing is ultimately beneficial to the potential thief, as it facilitates the functioning of a society he needs, would be reason enough to stop him. However, the consequence deterrent would likely be a much stronger factor, and eliminating that would result in a much higher level of theft.