Any organization is political. The difference is whether we are talking about the organization or the members. Most members are not that politically involved. There are plenty of people who are very religious and participate in the religious ceremonies. If these people no longer had that, it's possible some of them would move into material participation in political parties, offices, etc.
Or they may join a band, or choir, or local sporting team, or organize/join an event on meetup. While some of these may be political they are often much less political than a church.
