To clarify, Wikimedia Italia doesn't financially sponsor this site nor contribute content to it. AFAIK our volunteers provided some MediaWiki training to the site's users. Wikimedia Italia is always happy when MediaWiki usage spreads, but recommends Wikibooks and Wikiversity as primary platforms for OER activities.
As for your question, there are a couple useful things you can do: 1) write a document where you explain what makes your platform more suitable for your activities and what features Wikibooks/Wikiversity lack in your opinion; 2) publish your code in Gerrit: https://www.mediawiki.org/wiki/Git/New_repositories/Requests (you made a Docker extensiona and the skin, right? http://it.wikitolearn.org/Speciale:Versione); 3) report bugs and feature requests http://phabricator.wikimedia.org/ ; 4) (as you use Debian) take ownership of the Debian package, which is currently abandoned: https://wiki.debian.org/MediaWiki ; https://bugs.debian.org/cgi-bin/bugreport.cgi?bug=728347 .
Nemo