In my admittedly limited and likely biased experience, progressives and further left tend to be more critical in the way they approach authority figures. The GOP is just pissed they can't as easily indoctrinate younger generations into fighting against their own interests.
I've heard it said several times, the GOP tends to say the opposite of what they mean. "college kids are being indoctrinated" = "umm, guys, we're having a hard time indoctrinating the college kids..."
logic will never convince them because they aren't arguing from a position of logic. It's about conforming to the beliefs required to be part of their tribe and/or protecting themselves from coming to terms with the harsh realities of climate change. It's reactionary against a challenge to their beliefs.
You would need to first convince them to consider that their respected authorities could be wrong. But within this reactionary mindset, being wrong is disgraceful. So unless they lose respect for their leaders or manage to shift away from believing fallibility is disgraceful, I don't know if they can be convinced.