Prior to mandating anything, the US government should step up and ensure that every household has a free weekly delivery of rapid at-home tests. There is no reason for us to be individually flying blind whenever we get a sniffle or headache or other minor symptom.
Additionally, there is evidence that a prior covid infection grants stronger immunity than at least the J&J vaccine, and 40%+ percent of the US population has had COVID. Unless an exemption is made for that 40%, this is unscientific.