I have no problem with them using nuclear power in space. They have been using it.
Plenty of company
If nuclear power returns to space, it will find a lot of company. In the most recent tally provided by the Bulletin of Atomic Scientists, there are roughly 75 nuclear devices in space, 38 from the United States and 37 from Russia. Of these, 46 are in Earth orbit, 12 were left on the Moon or Mars, and 17 power deep-space probes.
In 1964, for example, an American satellite failed and re-entered Earth's atmosphere. As planned, it jettisoned its nuclear payload, releasing radiation over the Indian Ocean at an altitude of 75 miles, according to the Bulletin.
In 1973, the Apollo 13 spacecraft carried an RTG to be used to power a seismic station on the Moon. The mission was aborted and the spacecraft returned to Earth. The RTG was attached to the lunar module, which broke up on re-entry. NASA officials say the RTG re-entered intact, with no release of plutonium, and now sits on the floor of the Pacific Ocean.
In 1978, a Soviet radar reconnaissance satellite malfunctioned and crashed in Canada's Northwest Territory, releasing thousands of highly radioactive fragments into a lake and the surrounding area.
No evidence has tied these mishaps to any cancer cases or deaths.
http://cndyorks.gn.apc.org/yspace/articles/nppoised.htm