Re: How is Chinese names pronounced in Japanese?
Back to the topic,
Chinese proper names are usually pronounced with on-reading of kanjis, whether the name is ancient or modern. Publications in Chinese studies and other technical materials may provide furigana (pronunciation tips for kanji) in katakana that tries to capture the native pronunciation. Also note that the kanjis used for these names are of Japanese variety. Native pronunciations of Chinese proper names are hardly known by the public except for very popular ones such as 北京, 香港, 上海. If the capability of my Japanese input method software is any indication of popularity, 毛沢東 and 鄧小平 are less known by their native names than the three place names above.
Always give as much context as you think unnecessary. How do you like your lamb leg steak? — Medium, right leg!