Politicians put their positions on the BBC in their manifestos and you can pick a representative which has the views on the BBC most similar to your own. Just like almost all other issues.

I don't think it's unpopular enough yet to have any popular public outcry over the funding model large enough that it'd reach parliament. But BBC News has put their thumb on the scale a few times during the Conservative government, so there's a small but growing resentment of the org