This idea has been around for a while. Make government more efficient by putting a private enterprise person in charge

It never worked because the private enterprise person got efficiency by having a cool project or forceful personality in the private enterprise which let them pay their employees poorly. Or maybe they paid their employees well and had excellent success. But then they have government employees who are hard to fire, have highly specialist knowledge, aren't in it for profit and so the private enterprise maverick is usually [worse than] useless

I don't expect it to work this time either, especially as Musk is more interested in Tesla, SpaceX, and his other companies