I'm planning on applying to Ph.D. programs this fall, for the following fall. However, I am unsure as to what programs offer the best programs for certain research interests. Currently, I am an undergraduate of Middle East and North African Studies focusing on politics and political movements of the Middle East. I am finishing a Political Science minor, and from what I understand I am looking to major in international relations and minor in comparative government for my graduate studies. I have an interest in IR theory and methodology, but also like the practical application of comparative. I have an interest in the growth of Shia politics and its effects on regional politics (Hezbollah and Iran), specifically the political developments that have resulted from activity in Najaf, Iraq. Comparatively speaking, I would like to look at the difference in ability and political capital of Sunni movements and Shia movements (e.g. practical differences between a non-state actor like Hezbollah and ISIS). Lastly, I have a growing interest in international political economy and counter-terror. From my interests I imagine my research will require a healthy blend of quantitative and qualitative analysis.
I'm wondering what programs would cater to my interest best, or rather, how I can find what each program specializes in. From my research so far, Georgetown seems to be a good bet. Secondly, are my assumptions about the differences between IR and CP accurate? From what I understand, IR involves a lot of theory on IR itself, and CP focuses more on the practical comparison of two entities to draw conclusions.
Finally, as for programs, I'm aiming for the top 20 or so. I have a 4.0 GPA, great letters, an undergraduate teaching assistantship, and a strong grasp on Modern Standard Arabic. I'm lacking statistics/economy classes, but will be taking an introduction course to both in the spring, and will mention that in my SOP. This may not be true, but I've also heard that many PoliSci grad students have come from equally unsubstantial math backgrounds. It may be worth noting I have a fairly strong history in programming, which I have heard is helpful in quant class. Another pitfall will be official "research" experience, I've written substantial research papers in the past, but nothing with faculty in an official capacity (which I hope to rectify this fall and spring). I'm not sure if this will negatively affect me, but I am also graduating a year early. Given I do well on the GRE, do I have a good chance at one of these top schools? I am currently at a regular state school.
Sorry for the incredibly long post, and feel free to correct my misconceptions or offer other advice.