Why just NASA? Really dangerous. Muslims oppose space investigation and even astronomical calculations. Their reason is that they think searching for accurate long terms ways of keeping time implies that the world would last for a long time, and they hope it to end as soon as possible with what they call the Final Judgement and resurrection of the dead (which is believed to happen after all "infidels" are killed, and specially after all the nations join them to exterminate the Jews). It can be read in many Muslim sites that they strongly oppose any long term astromy research.
If NASA wants to reach them, it's a very serious hint that they may have an evil purpose. No wonder that NASA did not aim at inviting them to join research, it has reather stopped research and priorized reaching them.