The fact that your son wants so much to be like you must make you proud. Please do not worry about what seems to be an inability to determine real life from his imaginary one. His behavior can and will change with your help.
It sounds like you do work-related tasks at home. If this is true, how much of your work does your son witness? The more you work in your son’s presence, the more he will think this is the way things are supposed to be. This is especially true if your work is conducted in an easy, stress-free manner. It is natural for him to want to play this way.
To shift his focus away from “work” play, plan outings and activities with your son that have nothing to do with work. As often as you can, have your son see you engaged in activities that are purely recreational. If he tries to shift back into “office” mode, tell him that people who work in offices do other activities too. They do not work all the time.
He is likely to become upset. Have a talk with him, saying that even the hardest-working fathers take time off. Keep the conversation simple and on a level he can understand. Having fun is just as important as working.
If he is still reluctant, try this. Tell him you are going to another part of the house to do something fun. Invite him to come along, but don’t force him or bargain with him to join you. Whatever you choose to do, make sure it is enjoyable for both of you. Then leave the room. Don’t make a big deal out of it, but do make certain that he can hear you laughing and having fun.
Chances are that he will be curious and join you. He may just watch, or he may ask to participate. Give him encouragement along the way. This is a case where actions speak louder than words. You are reinforcing that there are numerous activities in which you both can participate that are not work-related.