After rushing to shut down the government-funded media outlets she was tapped to lead, Kari Lake has launched on a mission so strange that it is perhaps unprecedented: She is trying to force her own employees out of the country. Lake has been making the rounds on right-wing media in recent weeks to pitch herself as a devoted enforcer of President Donald Trump’s broader agenda. Her latest targets are J-1 visa holders who worked for Voice of America. Obscure to most Americans, they have attracted Lake’s attention in part because they embody a trifecta of triggers for Trump’s ire—they are...