First, tell Jeffrey Dvorkin and all his acolytes to go fuck themselves. The CBC is not a god damned private art house network and becoming one isn't going to make you "relevant" with the kids. If you want to know why you've been dying for the last 30 years, it's the fucks like him who find their way into the leadership seat and seem to think there's no necessity to air anything anyone actually gives a damn about on it that are problem one. It's time people remember that the purpose of media is to Entertain AND Inform. If you don't do enough of the former, your ability to do the later becomes limited as your customer base dwindles.
Second, establish and maintain shows that people want to watch. You don't fucking cancel Hockey Night in Canada or Dragon's Den: you use them to drive eyeballs to your other shows. Fundamental Law of Business: people can't purchase what they can't find. In this sense, throwing away flagship programs people actually watch just makes you more irrelevant, not less.
Third, and extending on the second: stop this "We can't air US TV Shows" BS. The CBC needs to remember that the primary purpose of TV is entertainment. So, buy entertainment that people want to watch and use it to drive them to your other shows so people will give them a chance. Follow that up by making your shows the best shows they can be and you might find that they actually stick around instead of die on a cross labeled "No one cares about your backwoods network anymore".
Fourth, while News is important the list of people who want to watch people sit around and talk about it all day is not long and not young either. Seeing to it that your news is quality and relevant is good: depending on it for your entire business model nationally is folly.
Finally, adopt the policy that anyone who complains about you kicking a "private" networks ass on their own turf can go die in a fire. You may be a public entity, but a public entity that makes money for the public is better positioned than one that draws money from the public. Start doing that, and you'll quickly find yourself with a blank check to do what you want with less political interference.