I think that in talking about politics trying to avoid “team based” reasoning hijacking your thinking doesn’t mean that you have to not have a political position. Being opposed to the KKK or a politician who wants to round up all homeless people and turn them into soylent green doesn’t mean you are unreasonable. The big problem in thinking about political things is that people often, as this article argues, line all their thinking and reasoning up with their side and refuse to consider that their side might be wrong about some things. Maybe the politician who wants to make homeless people into soylent green actually is totally right about some things. Maybe the training programs for homeless people do suck and should be reworked in some ways.
If your team is at war with another team some of your soldiers could be bad soldiers and some of the soldiers on the other side could be really good soldiers, but you are still going to support your side of the battle! The worst soldier fighting on your side is on your side! Even a great soldier on the other team is out to get you! If anything the other side having good soldiers (or good arguments) is a terrible thing, because they are the enemy! If the other side makes good arguments from time to time this doesn’t mean you should line up with them where they are right, it means you have to fight twice as hard where they are kind of making a point because you don’t want people drawn into their influence.
The point is not to abandon your rationally held beliefs, but to avoid wholesale adopting an extensive political belief system.