Despite what we think about news channels and their agendas, they are here to stay. Unless broadcasters are in violation of broadcasting rules and regulations, there is very little we can do. If you don't like the fact that some stations steer clear of certain issues or try to present a view point you don't agree with, then change channel. It isn't difficult to do, it takes you less than 5 seconds, and you have enough choice.
There is so much wrong here.
First off, I'm not sure that news channels are here to stay. In 10 or 20 years time, television will be a much different animal than it is now, especially as we continue to see the growth of on-demand television. I suspect that news channels will be considered an outdated format before too long, and we'll see them disappear into obscurity. I also suspect that television news will substantially change and longer form news programmes will eventually disappear from TV. Look at radio in this country, only BBC Radio 4 does long form bulletins anymore, commercial radio has almost entirely dropped the idea. The longest bulletin you have now is Heart Nightly News airing on selected Heart stations in areas such as Cornwall, Wales, Yorkshire and Scotland, which are 10 minutes. Outside of those, you'll be hard pressed to find a bulletin on commercial radio anymore longer than 3 minutes.
Your point about choosing to not watch channels we don't like completely misses the point. It's actually not about whether we like a channel or not, that doesn't even factor into the thinking here. It's about whether a channel is being factual or merely spreading propaganda. I don't even have a problem with Fox being right wing, I have a problem with it blatantly lying to the audience. Many right wing broadcasters and publishers in recent years have begun a process of denying actual facts, and trying to present their own opinions as actual facts, rather than as the opinions they are. It's like the whole birther conspiracy. Obama was born in Hawaii. That's a fact, that was actually confirmed by local newspapers in Hawaii on the day after he was born. Official birth notices for every baby in Hawaii were actually published in Hawaiian newspapers daily back then. It's hard fact. The whole Kenyan thing was an attempt to deligitimise a black man being elected to the White House, because they believed that a balck man shouldn't be elected to the office of President, Pure racism was the motive, and anybody who had a modicum of intelligence saw right through it.
It's one thing to selectively choose to report stories that promote your agenda. It's quite another to completely make stuff up. To the best of my knowledge, CCTV/CGTN, RT and Press TV and others, do not routinely make up stories to promote their agendas, where as Fox News, and the sources they used, such as the Cybercast News Service, did that routinely, multiple times a day.