The big difference between most people's relationship with their father and their mother (at least for us of a certain age) is that fathers historically were not involved in caring how their children felt. The traditional role of the father was to lay down the law of the house and to provide income. This comes all the way back from the initial formulation of the nuclear family, which was an imitation of the royal family where the king makes the rules and is responsible for the wealth of the land.

I provide that background only to point out that it is based on nothing other than folklore and fairy tales. It was a tradition that served its purpose but is not really necessary in modern times. You can be emotionally involved in your son's life. You can let him know how you are feeling, even if you are feeling weak or unsure. I can't say for sure, but I would investigate if you are more concerned about how your father feels about you as a person or if you are more concerned as to whether or not he thinks that you are a success. Is he the voice in your head that says "you can do it, I believe in you!" or "you better not mess up!"?

Part of this has to do with being emotionally competent yourself, which is something that you can work on.