1897 Assessment
Research Question The statement of the question is not as well-worded as would be desirable, but the intent of the research question is fairly clear and seems reasonable
Relevant Literature This looks like a fair start on a literature review.  You probably should look at some more general work on the relationship between attitudes, political identities, and voting on social issues.  
Causal Interpretations This calls for a considerably more detailed and nuanced analysis of causal possibilities.  Why expect crime rates to matter?  Does the average voter track crime rates or have any idea what rates should be interpreted as high or low in the U.S.?  What social mechanisms link crime rates to people's positions on crime, punishment, and potentially gun control?  What kinds of crime?  How do media, political parties, and the like come into play?  
Data  The plan for data seems okay, if not yet fully developed.  It is not clear why you would choose the county level rather than something more refined.  Voting results are commonly available at much finer levels in urban areas, as is other data.  Also, using aggregate data at any level to explain political behavior involves a series of substantive and methodological issues, so you need to review the appropriate literature on such issues and show that you have an adequate solution.
Research Value It is not obvious how this research will add to existing research on support for gun control.  This should be the focus of the section on research value.
Timetable okay
   
Priorities for Developing a Full Draft Three things stand out: how will this research go beyond existing findings?, what are the causal processes in question?, and how can the proposed data address the these goals?
Miscellaneous Notes