I don't think the FCC steps in, in situations like this. Interesting things can happen though, like in the late 70s in Boston where a group formed to protest the dropping of country music on WCOP AM/FM, and a group of country fans (it was the only such station in town) tried to get the FCC
to deny WCOP's license (renewal?). There was an out of court settlement where WCOP owner Plough agreed to buy time on another station, WDLW, where country could be run (eventually it would go country full time, then drop it when an FM in town picked up country). Anyway the FCC
didn't force WCOP to change its decision about a format change, but apparently WCOP owners
made the deal to place country elsewhere to make the license-challengers go away.
http://lists.bostonradio.org/bri/v02/msg05540.html
>>(WAVES Magazine, 1979):The current programming on WDLW is the result of a settlement agreement
between CCA and Plough Broadcasting Company, the former owner of WCOP:
CCA has dropped its license challenges against Plough, and Plough is
helping to sponsor the country block on WDLW.
In Boston a Facebook group exists for those who objected to pubcaster WGBH dropping long-running blues and folk shows for news, etc. So far, no results.