As a conservative American (who believes the climate is changing), I don't think the key to greater awareness is to make things seem more dire.
IMHO, the key is to ensure that every bit of news about climate change is validated by unimpeachable sources. There have been more than a few incidents where claims about the amount of damage coming have been exaggerated-- this feeds doubts.
News sources (Fox included) regularly carry items that describe the problem. If everyone believed what was written (even if they are only looking at Fox, nowhere else) I really believe there would be more concern.