So, would it protect federal employees and federal contractors?

There is no law mandating private businesses. They don't have to enforce anything, but some are. Healthcare has always had the flu shot mandated unless medical or religious exemption prevents it, so I'm not so sure they'll stop private businesses. Since it's not FDA approved, they should.

Yeah, I definitely don't trust him. From what I understand, the lady that cried wolf was a Soros plant, and disappeared once Greitens resigned. He shouldn't have resigned. He's been back in the news lately fighting election fraud.