What to do with it is to act understanding and empathetic with people like that instead of standoffish and hostile. You still insist on the better way of doing things, but there’s no actual need to attack anyone that doesn’t support the better way of doing things, even if their reasons aren’t rational or even morally questionable/bad. It only serves to further entrench them in their positions, while the opposite might have a chance to happen in a more cooperative approach.
Defense lawyers are supposed to try everything they can to defend their client, no matter how little sense it makes. It is theoretically possible for an admission of guilt to be false.
It’s up to the judge to understand their arguments are worthless and rule accordingly.
That’s how this is supposed to work.