Nyorai kupfuurira kweiyi ndima - Muna 1970 Haden akagamuchira Guggenheim Fellowship yeMusic Composition pakurudziro yomutungamiriri akatanhamara Leonard Bernstein. Kwemakore, Haden akagamuchira zvikwereti zvinoverengeka zveNEA nokuda kwekunyora. Haden akatanga bhendi rake rekutanga, Liberation Music Orchestra ("LMO") muna 1969, achishanda nemurongi Carla Bley, aimbova mukadzi waPaul Bley. Nziyo dzavo dzaiva dzokuedza zvikuru, dzichitsvakurudza zvose zviri zviviri nzvimbo dzejazz yakasununguka nenziyo dzezvematongerwe enyika. Album yokutanga yakanangana zvakananga nziyo kubva Spanish Civil War yakanga zvakajeka rakafuridzirwa Haden. Rakafuridzirwawo neDemocratic National Convention ya1968 ine mhirizhonga
MuChicago, akaisa nziyo dzakadai se"You're a Grand Old Flag" uye "Happy Days are Here Again", achienzaniswa ne"We Shall Overcome".