I'm not so sure Burke and company really enjoy throwing stones as much as they need having rigid rules in place in which to define the parameters of Christian behavior. For them, without rigidly defined rules the church descends into chaos. That is their worldview, and I think that more than anything is what they see as threatened under Pope Francis. They just can't allow for any "gray area" whatsoever. They see that as the world shifting beneath their feet and they don't like it.