With our country's political dichotomy, terms like "climate change" and "global warming" cause more division than unification. "Climate change" and "global warming" are terms of a global scale when many don't grasp much outside of a local scale. So, you'll probably find more people who think we have a responsibility to the environment than who believe in "global warming".
"Global warming" is a misnomer, giving nonbelievers ammo for their argument, and "climate change" is used as a political power play to further agendas rather than what might actually be best action. In reality, we are living in a changing environment and whether you believe it is because it's being caused by people or not, there is scientific evidence showing change.
So, regardless of these terms and how their usage effects the public, the environment still undergoes change and, despite personal political beliefs, we, as a species on this planet, have a responsibility of helping the environment and not making conditions worse.
Compromise must be made between sides to make something abstract more tangible. My recommendation, take those terms out of it and focus on actual, tangible issues.
My lion example (sorry for all the commas but try to follow me): Climate change isn't reducing the home range of the African lion, anthropogenic factors (things that are a result of human activity), such as humans coming into lion habitat, which, in turn, changes the landscape, do. A focus on alleviating human-wildlife conflict, teaching carnivore-friendly land use, and the creation of corridors to preserve passageways for movement of species across people dominated areas, for example, will better serve the lion population than trying to "stop climate change." It's something people can more readily relate to and inevitably leads to that bigger picture that "climate change" is trying to encompass but is too abstract for many to understand. It's the same goal just a refocus of the issue. And, I think, the lion conservation community is doing this well.