Currently in the Eastern Rite most parishes support the priest and his entire family.
Do you know of any sedevacantist and/or anti-Vatican II type Eastern Rite priests?
There is the Society of St Josaphat. However, they are not really Eastern in that they have been highly Latinized.
The bulk of traditional Eastern Catholic priests embrace Vatican II because many of the reforms complained about by Latin traditionalists were actually proposed not by liberals at the Council, but by Eastern traditionalists at the Council following the lead of Melkite Patriarch Maximos. The irony being that Vatican II had the opposite effect in the East that it did in the West, in that it permitted Eastern Catholics to restore their Tradition.
Having said that, most Eastern Catholics who come to reject Vatican II and the post-conciliar popes will find their way over to fundamentalist streams of Eastern Orthodoxy. In fact, one of the most thorough and passionate essays I have ever read promoting sedevacantism was written by a group of monks from Mount Athos.