You know, I'm not sure. The presence of, let's call him a nonbelieving bishop, doesn't change the Faith at all. In most dioceses, there would still be faithful priests available, and you could find out the "right" parish on the internet :-). There are channels for complaints about priests and bishops, if they're in violation of Canon Law, but I don't know what the procedures are exactly.
I thank most Catholics in areas with questionable Bishops just suffer along, knowing that he'll be gone eventually. The Church has been through it all ... if it survived Rodrigo Borgia as Pope, it will certainly survive Archbishop Roger Mahoney! The old leftists are OLD ... the times call for patient endurance.
Not being a Catholic, I really have no dogs in this fight, but I think the health of the church overall is dependent on all its parts.
Personally, I am praying that Cardinal Biffi or one of his group becomes the next Pope.
Because, you see, I happen to believe that the architects of Vatican 2 bought Satan's lie and believe he doesn't really exist.