It seems like the task is a little stalled; who is able to setup Wikimedia wikis on phabricator ? Or anyone I should subscribe to the task ?
To answer your original question, anyone can setup a Cloud VPS, once created, would just need to install MediaWiki and Wikibase. It would not be a production Wiki, but would be a good place to test things out.
or are you asking how to get a new project in phabricator? You could also request a new production wiki (i.e. a clone of test.wikidata.org)
I requested it here
I don't think having a Structured Wikiquote is as simple as creating a copy of test.wikidata.org
The setup and extensions are exactly the same; the only differences are properties.
True. I mean I think there might be some UI changes... for instance, the description and alias are no longer needed, so the label can be brought full-width, not too dissimilar from Common's new structured file captions.
I think it would be better if this new project (when ready) replaced Wikiquote, otherwise it will become a situation like Wikidata's Lexemes, where Wikidata takes over Wiktionary.
WD UI also lacks support of paragraph.
I see that test wiki as an Incubator for multilingual/structured Wikiquote; that might one day become a real Wikiquote (and even replace other WQ ?)