That happened in the reverse way. The government fired and underpaid a lot of people at Nasa ... and Musk hired incredibly experienced people, who became experienced on the taxpayers' dime, to build a rocket, for huge payrises.

The biggest but not only example: https://en.wikipedia.org/wiki/Tom_Mueller (yes, lots of subcontractors involved, however, Nasa paid, with a bonus percentage provided by the US military)

Note that Mueller gives the payment situation at TRW, and the fact that he "wasn't appreciated" as a direct reason to go to SpaceX.

What did you think happened? Does anyone actually believe Musk did the technical design for that engine, just because he claims so? Or I should say he constantly claims it, staying slightly away from direct claims to avoid getting caught in lies (well ... getting caught AGAIN).