How did Johannes Brahms respond to the rivalry between his supporters and Richard Wagner’s supporters?

Johannes Brahms maintained a respectful attitude toward Richard Wagner despite the intense, often virulent rivalry between their respective supporters. While the "Brahmins" (Brahms's followers) engaged in a persistent conflict against the "neo-German" school led by Wagner and Franz Liszt, Brahms himself consistently spoke of his rival with respect.1

Brahms was drawn into this controversy early in his career after Robert Schumann publicly praised his work, which displeased the modernists. Although Brahms did not conceal his lack of sympathy for the self-conscious modernism of the Wagnerites, he remained focused on his own artistic path, which emphasized traditional symphonic development and structural integrity over the "Romantic individualism" and rhapsodic tendencies favored by the Wagnerian school. Ultimately, Brahms's personal life was occasionally disturbed by these factional disputes, yet he remained largely detached from the hostility, preferring to dedicate his life to his own compositions.123