This is getting very off topic, but this "let's dispose of nuclear waste by shooting it into space" is such an insane idea. In which universe is the risk associated with a frickin space launch lower than a deep underground geological repository?
In the meantime, while waiting for the magical Star Trek future to arrive, I'd much prefer if we'd store the waste we have and continue to generate in a safe and responsible manner. Which, whether we do reprocessing or not, would involve deep geological disposal. If we later come up with a significantly better idea and for some reason have a motivation for doing something, sure, then we can dig it up again and shoot it into space, transmute it, or whatever the idea at that time is.
What I'm saying is that with anything like current day rocket technology, disposing of nuclear waste by shooting it into space is just a laughably insane idea.