Both of your points are the baseless, pop-culture nonsense that the current tech malus from Counter-Reformation appeals to. Let me break it down. First of all, regarding medical cadavers:
"...virtually all of the early work on anatomy took place at Church-sponsored universities throughout the period that he claimed dissection was condemned, 1300 to 1500. In fact, no historical evidence exists of any widespread dissection ban by the Church. Guy de Chauliac, a fourteenth-century surgeon and doctor who is considered one of the "fathers" of anatomical studies, served three popes as personal physician. He openly encouraged the use of dissection in the study of human anatomy and would hardly have been allowed to do so if such practices were condemned by his employers. Rather than serving as some kind of obstacle to medical advancement, the Church was the source of medical research for centuries." (Lockwood, 2007)
As for Galileo, the Church's opposition to Galileo's heliocentric model of the solar system was also voiced by many secular scientists, many of whom would have no reservations about criticizing the Church. His theory was not opposed because of its objection to theology, but because he lacked sufficient evidence to prove that his model was superior to the prior Ptolemaic and (original) Copernican models.
Furthermore, the point that actually brought about Galileo's conflict with the Church wasn't his 'free-thinking' or whatever buzzword historical revisionists like to bandy about, but because he essentially threw an incredibly ill-conceived tantrum after being denied and immediately began publishing works that belittled and ridiculed not only the Pope, but also the clergymen who had helped him attain his fame and position in the first place!
It would not be until Johannes Kepler and Isaac Newton added onto the heliocentric theory with their own findings that it found acceptance among the Church and scientific community. Despite the assertions of fedora crowd today, the Bible is not nor ever was considered an unimpeachable science textbook by the Catholic Church. When clear evidence was provided proving the heliocentric model with elliptical orbits, the Church adopted it with little issue.
Yet, despite all this supposed 'tolerance,' it was the Protestants who burned the most 'witches' and held the most deep-seated devotion to anti-scientific Biblical literalism. True, tarring all sects with the same brush is dishonest, but to say that their multitude of 'faith' somehow produced tolerance is an absurdity when you look at how much the various Protestant and Reformed sects bickered and fought with one another.
And don't even get me started on the atrocities that Protestants committed against Catholics in countries where they gained control. For all the hate and vitriol that the Spanish Inquisition gets, the centuries of British oppression, execution, and forced conversion of Catholic priests and laymen alike go blithely ignored.
This forums needs a like button so badly. Excellent post.
The last paragraph in particular is something that gets so often overlooked and airbrished out of popular history. Elizabeth I, for example, did far far worse to Catholics than her sister "Bloody" Mary did to Protestants...