Political correctness is a social construct, and largely appears Marxist in origin. I suspect that on occasion it may not differ too much from politeness and common courtesy. That anyone might rejoice in neither being polite or courteous and see that as a virtue strikes me as perverse. Rejoicing in offending others directly conflicts with the teaching of the Apostle Paul on love.
As such political correctness and Christian values, institutions or beliefs might at times conflict. After all political correctness is a thing very much of this world and Christianity and worldly wisdom have long clashed. But calling it a heresy might be going too far.
One of the problems I sometimes experience with supposedly liberal and progressively minded people is their intolerance and unwillingness to engage in an honest and open debate faced with views or values different than their own. The labelling and dismissing of others, without debate, is the common tactic. In turn I'd be reluctant to readily label another simply because her or his views were different from my own when dealing with secular matters.