Jefferson was referring to the establishment of a state church and the taxing of citizens to support it. But his wisdom applies perfectly well to subsidies to broadcasting. Virtually everything that is broadcast on National Public Radio and the Public Broadcasting Service involves someone's opinion. Not everything can be broadcast. Someone makes a selection among all the things that could be put on the air.
Ideology is part of that selection process.
Often the selections are controversial. There will never be universal agreement on those matters. That is not fair. Moreover, it violates the First Amendment's prohibition on abridging freedom of speech. Freedom of speech must include the freedom not to speak, and that freedom logically entails the freedom to abstain from subsidizing the speech of others.