I don't know their particular situation, but I do know (from my days in NY) that Fr. Perricone is an excellent priest and very traditional. However, I think the parishioners' big fear is that there is no guarantee, once the archdiocese gets its hands on the parish, that it won't insist that the NO mass be celebrated there, also.
That at least is the fear of many independent chapels. The people build the parish with their own money and effort, and the diocese negotiates because it wants the property; but there is never any guarantee given that the NO won't be celebrated there or even that the Tridentine Rite will always be continued after the diocese gets the property.
Still, that said, I think this sounds like a fairly good offer, and I don't think Fr. Perricone would betray the parish or let the archdiocese do so.
Yet, those that favor that particular solution see no problem with that.
IMHO, in my recent exposure to the man, I don't think he is a good fit to carry on Father Wickens work.
My Personal opinion is that he is the best man drawing breath, to continue where Fr.Wickens left off.