Darkmatters, you seem to be suggesting that being able to break something down into its component parts somehow challenges its complexity, which really isn't the case. Complexity arises when many simple things come together and take some kind of form or pattern. Simply acknowledging this in no way diminishes that complexity.
With your television example, you're making the mistake of thinking that these spots of light all come together to create a story, when they don't. They create a pattern. We build these machines to project light signals in such a way that they create patterns, our eyes pick up on these patterns and our brains then interpret a story based on the sensory information it receives. At this point, the story really is down to the firing of neurons. Your brain takes in data from the outside world, analyzes it and then processes it into what you would call a story. It's pretty much a language of light signals and sound waves practically no different than communicating through speech or text. The fact that such a sophisticated process occurs is quite amazing, but at no point do I see any evidence of these things detaching themselves from the material world.
It's the same with the thoughts, ideas and memories. You keep making assertions that they're more than just chemicals reactions and electrical impulses that occur in the brain and you're creating a 'story level' realm for them that somehow transcends the physical world. But you're not giving any detail about how they manage to become more than the parts that make them up.
With your other metaphor, using subjective terms like character and identity to describe these influences doesn't make much sense. You're using the terms like they're objective facts, when they're really just concepts. Saying that influences have their own character and that their character changes when they become a part of you, you may as well say that every atom has its own personality. It's like you're using poetry to argue your case.
I'm starting to think we'll just have to agree to disagree here. For the most part, we're just repeating what's already been said and typing out these long posts is tiring and takes up a lot of time (seriously, these things take me hours to finish). I feel kinda drained and just want to stop posting here now. Nonetheless, it's been a fun discussion.