Mao was against the bad traditions like arranged marriage, feet binding, blind affinity to family and clans instead of the country.Yeah, but i believe Mao along with his red guards were against China's old traditional values, NO? Theres a reason he launched the cultural revolution to destroy and wipe out most of them(which led to tbe destruction of many ancient Chinese artifacts). I believe he had his reasons for doing so, though many later criticised him for that.
Contrary to what you think, Mao is more Chinese classic than his peers. He is the only modern Chinese leader who was able to compose classical poems, both in format and spirit. Read his essay in classic Chinese in commemoration of Yellow Emperor and compare with what the ROC government wrote in 1937.
Mao is not in favor of Comfusius but he had high regards of Qinshihuang, Wudi of Han, Taizong of Tang and Chengis Khan. The culture that you talk about is only part of Chinese culture and by the 1900s many aspects of them are indeed dragging China down.
If you regard Mao as destroying Chinese culture, so would many great Chinese figures before him, start with Qinshihuang who made China as we know.
Culture like it's carrier is a river not dead water.