I suspect the answer to this lies in who feels the short term pain vs who benefits from the long term gain.

I think the right mostly doesn't believe climate change is a problem or manmade. If you could convince them that it was a real, fixable, harmful thing, I suspect the right would support strict green policy that would look much different than the green new deal. For example, there would be no "environmental justice" focus which is a big thing in the GND; it would probably just focus on reducing total emissions even if that harmed the middle class / poor disproportionately.