But, because I do want to be on the record, so to speak, with my thoughts on the document, its likely effects, and the consequences for faithful Catholics, here goes:
On the side of the exhortation's problems, many bloggers have written about them already, and quite well. For a rough synthesis of my opinion, with a quibble here or there, I would direct you to the following items:
There are many other excellent articles, and I don't mean to slight anyone. But the essentials are covered above.
I would only add my own additional thought, which again others in other articles have also expressed-- the juxtaposition in the exhortation between the teachings of Christ, as expressed by His own words and the constant teaching of the Church, and "reality", is most unfortunate. Reality is a term used at least 25 times in the document as a foil to the unreasonable demands of Christ. As though the Divine Author of Life and Redeemer of the Universe didn't know what He was talking about. Nobody can live the Gospel; our expectations are too high. I don't know what it says about Mercy that the Church will now think so meanly of ordinary people and so poorly about her Divine Spouse. It makes me shudder to think of the hubris here.
Now, unlike some others, I think that what Cardinal Burke wrote about the exhortation is true and extremely helpful. Maybe because I'm a lawyer-- but whatever. His Eminence gives the road map for the proper ecclesiastical authorities to walk this disaster all the way back without denying the truths of the nature of the Church. I disagree with those who minimize it or who think it weak. Far from it. The Bear wrote on that subject extremely well a few days ago. Whenever this problem gets fixed, likely through Divine intervention in the form of His Mother, the Pope and the Bishops will likely be the ones fixing it. Yes, we may be called to speak, but they are called to act.
This all leads me to the question, "What do we do now?" We cling to the faith. We maintain our faith in the Church. We maintain our confidence in Christ.
Christ was betrayed, scourged, tortured, and killed. He had His passion. We, the Church, the Mystical Body, are undergoing our passion now. Should we expect different? Didn't Peter betray Christ? Should we be surprised about the actions of Peter's successor now? The vast majority of the disciples ran away in the face of all this. Let us not follow that bad example.
Stay at the foot of the cross. Despite all of the mischief in, and to come from, this exhortation, it doesn't touch our duties as faithful Catholics. Watch. Pray. Be sober. Have confidence in God's holy will and His ultimate triumph. Console, admonish, repent. We must make a deeper act of faith in Christ, the only salvation there is.