I get involved in conversations, but not in heated debates. I don't even dignify bad faith responses with an answer.
Participation is optional. If it's pointless and unpleasant, I don't bother anymore.
My online posting life got a lot less stressful once I realized that the world will be exactly the same if I neglect to rebut some twitter user's bad/uninformed point of view.
Maybe you have a ton more social clout than I do, though :P
The winning move is to seem like the winning side of discourse in their space.
The truly winning move is to own a media conglomerate including social psychology people in communications.
That said, if you are playing, the winning move is not to play their games. Don't engage with their attempted straw man arguments, or end up in endless discussions about semantics. Some of the best debates I've seen / read were people not playing games and not reacting to bad faith arguments / tactics, but instead cleverly pointing out something else.
