Not because of their left wing politics, because of their behavior.
Are we saying that we can take state action against them, i.e. an official policy of federal judges, agents of the state, not to hire Yale graduates because they protested, do we not open ourselves to the same disqualification? Suppose the government says that no one who legally protested on January 6 is entitled to a federal job? What about their rights to petition the government, their rights to free speech?