Awesome idea! I love that website. The current library of babel has all the lojban characters excluding the apostrophe. But since that can always be substituted with a comma, albeit the apostrophe is strongly preferred, all possible lojban words/phrases/pages of text already exist in the current library of babel. What it lacks is a lojban word highlighter (A tool to highlight all lojban words in otherwise random strings of text) and a filter to only show lojban words (Still gibberish, but no random strings of characters; just random words.)
Edit: The Library also only contains lowercase letters, so stress on names isn't there either.