HuffPo/YouGov
ran a survey aimed at this sort of question in 2015, but not specific to green projects.
Also not specific to green projects,
this 2003 study looks interesting. See the methods section for study 1 which involves presenting participants with policy options and telling some of them that a policy is supported by Democrats and others that it is supported by Republicans:
Quote:
Participants were randomly assigned to one of two versions of the welfare policy report. The “generous policy” version offered almost $800 per month to a family with one child, an extra $200 for each additional child, full medical insurance, $2,000 in food stamps, extra subsidies for housing and day care, a job training program, and 2 years of paid tuition at a community college…. By contrast, the “stringent policy” version provided only $250 per month and $50 per additional child. It offered only partial medical insurance, and imposed a lifetime limit of 1.5 years without the possibility of reinstating aid….
Regardless of whether the policy was generous or stringent, liberal participants supported it if told that Democrats supported it and they opposed it if told that Democrats opposed it. Likewise, conservative participants supported the policy if told that Republicans supported it and opposed it if told Republicans opposed it. By contrast, policy content had no direct effect for either partisan group; the relevant interaction involving participant ideology and policy content was not significant.