Is the following sentence correct grammatically?
He likes reading books as distinguished from her who likes dancing in night clubs.
That is a very wordy and unnatural sentence. If you want to keep the same structure and words (I'm not sure why you would!), then I would say, if I had to:
He likes reading books as distinguised from she, who likes dancing in night clubs.
I would be much more likely to say:
He likes reading books whereas she prefers to go to nightclubs.
Tom likes reading [books] as opposed to Sarah, who likes going clubbing.