Do I feel something wrong in remaining Haredi with all the laws when in truth I don't identify at all (almost) with the worldviews of this public?

You are doing something wrong by being Haredi. But if you don't understand this and you identify with Harediism, then you are a rascal (and not very smart). And if you are aware of this, then you may be smarter, but you are not a rascal.