Gallup is out with a new survey designed to gauge voter priorities ahead of the 2014 midterm elections. It also asked voters which party they thought was best suited to address these priorities.
On the two issues voters said were most important—the economy and the budget deficit—Republicans scored better. On the three issues voters said were least important—immigration, global warming, and same-sex marriage—Democrats were seen as most competent (albeit just barely with respect to immigration).
It's worth noting that those same non-priorities seem to be the issues that the (liberal) media is primarily interested in covering: