The main thing that I think people find in Breslov is emotional appeal [power]. That is it is not just they are looking for a tzadik but they find some kind of inspiration.. I mean if you are like me you want a unified clear idea of Torah. Now you could just as well go to the Rambam's Guide for the Perplexed for this reason. But the Guide has a bit too much medieval science in it to be compelling.
I might mention that leaders of Breslov tend to be unfamiliar with traditional Jewish writing. [Like The Guide for the Perplexed of Maimonides or the Emunot VeDeot of Saadia Geon.]