If an argument is bad faith but right, doesn't that still make it right?

Perhaps what you object to is being dragged into some messy going-in-circles argument. Those are frustrating but they happen because the good-faith participant tolerates some of the logical fallacies and false information presented by the bad-faith one.

People have a powerful force driving them to argue for the thing they believe in so it makes sense to tap into that force to generate high quality arguments. If everyone was kind of passive and willing to accept whatever seems obviously right, we wouldn't push any boundaries. Being kind of passive can happen if you're not emotionally invested in your argument.