It's pretty simple:
If he's employed by a private corporation, then the first amendment doesn't even come into it. Your employer tells you what you can and cannot do, and if you don't like it, you can refuse, and they can refuse to pay you.
If he's employed by a government organization, then he is bound by the terms of the 1st amendment, not supported by them. As a representative of the government, he cannot force people to say or pray anything, without violating their 1st amendment rights.
If he's employed by a private corporation, then the first amendment doesn't even come into it. Your employer tells you what you can and cannot do, and if you don't like it, you can refuse, and they can refuse to pay you.
If he's employed by a government organization, then he is bound by the terms of the 1st amendment, not supported by them. As a representative of the government, he cannot force people to say or pray anything, without violating their 1st amendment rights.