They would fire them because they broke their contract. Whether or not the public cares, the employer does and they have people sign contracts saying they won't do whatever behavior they find unappealing. The people would lose a lawsuit because there are contracts in place. This isn't just American companies, futbol teams all over the world have the players sign similar contracts. Politicians are elected officials, they aren't beholden to corporate standards or contracts even in America (just look at Trump or Clinton).