Burke was demoted not for having different opinions from Pope Francis but for interfering with the Pope Francis' reform of the Church.  Burke has a right to have his say but Pope Francis has a right to say no.  Burke is trying to get Pope Francis deposed or at least sidelined.  He is working with Steve Bannon on this, who is a very dangerous man associated with the alt-right.  There is also probably some Russian influence.  (It is odd that the same Russian trolls who shill for Trump attack Francis.  I see this one alot on Twitter. https://twitter.com/marilynkj/status/782866334799450112)  

Pope Francis cannot stand for someone who wants him to be gone to have free reign to plot.   That is why Burke must be made an example of.