I don't think installing a fancy tool is going to fix anything fast, you need people willing to look at the code first (which no one seems to be doing which is why there is a backlog)...
(Also I get 520 bugs that are non resolved with both Need-Review and Patch: https://bugzilla.wikimedia.org/buglist.cgi?cmdtype=dorem&remaction=run&namedcmd=Patches%3A%20Open%20and%20Need%20Reviewing&sharer_id=9593)