There are no Eastern rite SVs, as far as I know.
However, there is a Bishop from the Ukrainian Orthodox Church who converted recently to the Catholic Church, bringing some of his priests with him (there were 55 under his authority). He converted to the Church accepting the SV idea, due to the fact that the NO is clearly not Catholicism.
His story can be found here: www.cmri.org/yurchik.html
It makes sense that there are no Eastern rite SVs, or so few that the Western rite ones do not know of them, as the liturgical insanity which made many look more deeply into V2, etc., did not actually touch them; further, as the Eastern rite Catholics clearly, in some measure, do not even bother about the so-called "Western-oriented" Councils (the last 14 straight or so), it makes sense that most would not bother about V2, either. Many SVs in the West fled immediately to the Eastern rites first, as they wanted a valid Mass. The Mass may be called the "face" of the Catholic religion, in the sense that this is where most Catholics interact with their religion and its duties. People saw the "face" was being smashed, so then they started to look more deeply.
As for the need to have them "on board", there is no strict need, although the more the merrier.