No one believes in godol infallibility. That accusation is merely leveled by those who don’t like being told by rabbonim on how to act. Though, I don’t know how any non-godol can purport to know when a godol is incorrect.
So, in other words, you’ll agree that they’re not infallible, but, nonetheless, give them functional infallibility (i.e. treat them as if they are right, even if everyone else agrees that they’re wrong).
The Wolf