You miss the important fact that his employer is a part of government thus your ‘logic’ becomes illogic.
Since the 14th amendment, no part of government can violate any part of the Bill of Rights.
No, we will not permit it!
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It is part of the government, but it is NOT Congress. Again “Congress shall make no laws...”, which does nothing to ban local governments from employment rules.
It does NOT violate the bill of rights.
Yes, you will permit it. You’ve been permitting it your entire life.