nobody would suspect they would, but i'm not convinced they understood the options properly. disbelief is really hard to suspend. i'm sure what you'll hear is "rather than modify the climate, we should reduce emissions". if confronted on the reality that it's already too late, they'll probably say something about optimism, or maybe even cite a supernatural force. even those religious people that acknowledge the science seem to view catastrophe as a test of their faith. they've been conditioned to expect a happy ending.
if you could actually get people to understand that emissions can't be otherwise reversed, there is no optimism and there is no god? well, i think the results might shift. but, people are going to need to have something affect them personally before they'll get to that point...
http://www.astrobio.net/pressrelease/5939/public-views-on-climate-engineering