Hm. Actually, I'm not sure that your desire for more copies of yourself is really comparable with biological-style reproduction at all.

As I understand it, the fact that your copies would definitely share your values and be inclined to cooperate with you is a major factor in your interest in creating them - doing so is a reliable way of getting more paperclips made. I expect you'd be less interested in making copies if there was a significant chance that those copies would value piles of pebbles, or cheesecakes, or OpenOffice, rather than valuing paperclips. And that is a situation that we face - in some ways, our values are mutable enough that even an exact genetic clone isn't guaranteed to share our specific values, and in fact a given individual may even have very different values at different points in time. (Remember, we're adaptation executors. Sanity isn't a requirement for that kind of system to work.) The closest we come to doing what you're functionally doing when you make copies of yourself is probably creating organizations - getting a bunch of humans together who are either self-selected to share certain values, or who are paid to act as if they share those values.

Interestingly, I suspect that filling gender roles - especially the non-reproductive aspects of said roles - is one of the adaptations that we execute that allow us to more easily band together like that.