"A religion is an organized collection of beliefs, cultural systems, and world views that relate humanity to an order of existence." (Wikipedia.org). As a geek, I have no doubt that you (OP) have had life experiences which have led you to a set of beliefs, cultural systems, and world views that help you personally relate to the rest of humanity and the universe, possibly including a sense of the Divine. And as a geek, I have no doubt that you have experimented, analyzed, observed, tested your surroundings, and developed a set of values, beliefs, and ways of relating to others and your universe which have brought you some degree of happiness and peace.
It sounds criminal not to share such lessons with your own child. Of course your child will choose for herself. But to deprive her of those things in your life which have worked for you, especially in this area, seems foolish. Share with her the best path you have found and challenge her to find a better if she can.
(I suppose that I, as a geek, don't really buy in to the idea of an automatically-accepted formal dogma ('brainwashing'). And that said, I am an active participant in such a formally organized religion, but that's because my own set of experiments have led me to believe that this is the best path for me. And I ever seek a path which brings me greater peace and happiness, as any geek should.)