I'll bet somebody somewhere is going nuts trying to figure how to discredit him.

He really pasted them right between the eyes with that encyclical.

I am aware that they aren't bending on LGBT and some other sex-related issues, and I expect to continue to criticize him for that.

Vatican Strengthens Ties with Evangelicals and Mormons Against Gay Marriage
"In a month when papal conversation about marriage has been all the rage, the Vatican is enlisting a new set of allies to support its commitment to marriage between a man and a woman: American evangelicals and the Church of Jesus Christ of Latter-day Saints.
The presence of American evangelicals and the LDS Church was particularly notable. Rick Warren, pastor of Saddleback Church, and Russell Moore, president of the Southern Baptist Convention’s Ethics and Religious Liberty Commission, each gave speeches, and representatives from the Heritage Foundation and the Family Research Council in Washington attended. President Henry Eyring of the Church of Jesus Christ of Latter-day Saints’ first presidency spoke and Elder Tom Perry of the LDS’s Quorum of the Twelve also joined. In the United States, this trio of faiths has worked together to stand against the government’s Affordable Care Act’s contraception mandate, but it was the first time they were coming together at the Vatican to talk about marriage......"
http://time.com/3597245/vatican-evangelicals-mormons-gay-marriage/

That's what you are minimizing as 'not bending'. Convening 3 day hate conferences with FRC and NOM. The company one keeps, they say, indicates much about one's character.

which sounds great if you love markets, and think they give everyone a fair attempt to express their priorities; but this pope is not that convinced by markets. That fits with the rest of the message of the encyclical, which is about not putting a price on everything.

It's not that different from someone saying the ACA is no solution to health, and a national health service is needed instead.

Among the various revelatory aspects of Pope Francis’ encyclical on climate change, released to the public today, one of the overlooked warnings buried in the nearly 200-page document could trigger a new dialogue on another urgent global crisis: migration.

In the encyclical’s first chapter, the pope’s greatly anticipated letter recognizes the “tragic rise” of immigrants fleeing poverty from environmental ruin in an age of climate change.

Declaring that refugees who have yet to be recognized by international governing bodies “bear the loss” of abandonment, the pope calls out the “widespread indifference” to “these tragedies” taking place around the world. Importantly, the letter cites the environmental effects of the “enormous consumption of some rich countries” and its repercussions on the farming practices in the poorest places on earth, notably in Africa.

By connecting the migrant crisis to the issue of global warming, the pope makes clear the need for collective responsibility on these conjoined fronts. The key line in his encyclical embraces a long-time demand of the global south: for the global north to recognize its “ecological debt.”

http://america.aljazeera.com/opinions/2015/6/popes-encyclical-links-climate-and-migration-crises.html