I was gonna respond to chossid but RSo pretty much nailed it.
CS, I really would like some names. You know, of rabbanim who are considered gedolim by anyone outside your circle who agree with you guys. You said there where many, please share.
Also, still kinda scratching my head in wonderment regarding your contention that only the last Lubavitcher Rebbe did for all of Klal Yisroel whereis the the Gedolim only did for their respective kahilos.