Non-Philosophy is a rigorous practice that can have useful applications for academic researchers and political activists alike. Utilizing its methods and frameworks, it is possible to bring Peace into the endless War of sectarian tendencies in which "the Left" is mired. In the following paper, we apply the technique of Non-Philosophy to Josh Moufawad-Paul's pamphlet "Maoism or Trotskyism," taking it as an instance of occasional material to be transformed. An important aspect of this analysis is a syntactical deployment of Non-Philosophy (...) not always found in non-philosophical texts: here our dualysis proceeds by double superposition. We effectuate two non-philosophical clones, using the first in order to recursively effectuate a second. First, we transform Trotskyism by isolating its philosophical and auto-positional structure, then we use this radicalized Trotskyism in order to transform Moufawad-Paul's Maoist polemic. The result is a radicalized Maoism-Trotskyism opening the way towards a productive and integrative Peace between Trotskyism and Maoism. (shrink)