

I would say CNN probably still is mostly left leaning (relatively), but they have had a lot more right wing stances over the past five years than they did the previous decades.
I believe you used those terms correctly, although offline people would tend to say it more as economically conservative for that second part, in the US.
Teaching them about logical fallacies and how to spot them may be the best defense against these types of personalities imo. Many influencers that you’re concerned about try to prey upon these fallacies, so teaching your kids to spot them can help them to realize those people are full of shit.
Curating their content a bit to include more people you want them to be like can help as well, at least then they can have good people to look up to.
If your kids think you have their best interests in mind, I feel they’re less likely to push back and more likely to respect the boundaries you put down.