It seems to me that I personally, as a parent, will take the most pride in how my children are NOT like me. I have tried hard to instill curiosity in them as a principal virtue, and curiosity can go many places. We are all exposed to different things, different people, and take different paths. To the extent they depart from me and my path, that means they have found their own. That is what I want for them, and what I would argue all parents should want for their children.
Such, in any event, is my own view. You are free to differ. I do actually value diversity. The same logic, as I think about it, would apply to everyone you meet.
How banal, if you think about it, must be a teacher who insists on his own way, his own words, his own routines. The task of a thinker who would be a teacher is to get to the principles which matter, then watch in wonderment at the endlessly inventive ways in which they can be expressed by open and happy people.
My children are not mine. You are not mine. Confusions about this account for most of the unnecessary suffering in the world, I think.