Yes and no. The values and ideas of a culture are going to directly contribute to what they can do. Violence is just something that can be done. Using violence effectively combined with a culture that promotes advancement and then using that advancement in all aspects of your culture, which includes ways to be violent, is proof of the superiority of ideas, values, or religion.
TLDR: You don't gain superiority in the application of violence without also having superior cultural ideas, values, or religions.
TLDR: You don't gain superiority in the application of violence without also having superior cultural ideas, values, or religions.