The paper shows the possibility of applying the tool of non-additive measures and the belief functions theory to solving a number of problems of significance analysis and conflict of the political party positions. The study was performed on a database of online polls of parties in Germany before the elections to the Bundestag in 2013 and the results of these elections. The possibility of finding the most significant groups of issues for voting, evaluating the political heterogeneity of society, assessing the importance of the positions of individual parties for voting, assessing the conflict of the party positions on important issues is shown.