We study the media discourse and public opinion on climate change in the aftermath of extreme weather events. In both cable news and local media, and for both national-interest and local events, we find that left-leaning media consistently increase their coverage of climate change in the aftermath of natural disasters, while conservative media do not, despite equal disaster-related coverage. We then link the experience of disasters to concerns about climate change and the environment expressed in large-scale electoral surveys. We find a polarizing effect: disaster experience increases environmental concerns among liberal respondents, but has the opposite effect on conservative respondents. Both effects are driven by areas where the ideology of the respondent is in the minority.