Well, I see merit with your assessments of the motivations - but I think the response should be simply to either ignore them, or politely discuss. If they want to serve as a foil to help us continue to hone our logic, we should let them. If we behave, they can't "keep the GOP divide going" all on their own. (And, it should be called the CONSERVATIVE divide, anyway.)
Well, to some extent you are right, but remember libs keep peat and repeating their Oh so tolerant drivel over and over until people start to believe it. One of their tricks. I will now refer to it as conservative. But we as conservatives aren't divided. One logic is never, ever trust them. I don't, and it has always served me well.