Depends what questions in political science you want to study. Look at papers and books published by political scientists on the specific research areas that interest you. How much statistics is involved?
Remember that statistics, like all tools, are a means to an end - if data analysis can help you do careful analysis of the stuff you're interested in, it is a set of techniques worth learning. Let the methods you use follow the questions you find interesting, not the other way around. The math can be intimidating, but you should reject it not because you don't "like" it, but because it doesn't help you answer the questions you find interesting.
-- a poli sci professor who only uses stats occasionally and finds myself much less hostile to them than I used to be.