Well, there's shunning, where you just try to pretend the person isn't there and hope they get the message they aren't welcome. In this sort of case, it allows them to try and save face when the shunned stop coming around, without having to outright say 'You are not welcome here." Then there is Shunning or casting someone out. That's a big public display where the group makes it quite clear that someone is being thrown out of the group. Usually involving a big proclamation that said person is anathema and nobody in the group is to have anything to do with them or suffer the same fate. And often involves everyone literally turning their back on the outcast. It's an old fashioned thing, but I wouldn't put it past this congregation, as they have very strong 'traditionalist' streak in them.
This sort of thing only tends to work if everyone is willing to go along with it, whether they believe it or not. Otherwise such strong actions tend to snowball against them if people start to stand up for the outcast and in turn are cat out themselves. Then more people stand up for those and have strength to voice their opinions. This sort of thing only works when the majority is willing to stay with the groupthink. Whether through belief or fear or whatever other reason. Once people start to speak out about it, then those who have their own doubts but kept them quiet out of fear or thinking they were alone tend to start standing up.
Hank may well stand up for Becky if they try to do something like that. He's already lying to his wife to cover for them and fighting with her on their behalf. Joyce mostly of course, but he has trust and faith in her and things that Ross was in the wrong. Youth Pastor Powers may be another chink in the ecclesial armor. Though he didn't mention her name, he did refer to the two of them and is bothered by something.... That could be a fear of what these 'dangerous radicals' could do. Or it could be he's more in line with Hank on the subject. Time will tell, but probably not to much time...