@RandomPasserby The political point of view is rooted on the religious point of view. These are not incompatible except in the situation where you subscribe to watered down theological understandings of the Holy Scriptures like any of the many protestant denominations and their variably hot takes concerning the history of the One Holy Catholic Apostolic Church instituted by Our Lord Himself during his holy ministry. We have the Commandments that have been written by God's own finger, this is the most high law indeed, but we also have the lesser mosaic law which seemingly contradicts these commandments with things like death penalties and laws forbidding intermarriages and other such things. These, of course, are not contradictory, you just need a substantive understanding of theology and the emanating philosophy of it. I remind you that Our Lord Christ did not came to abolish the Law but to fulfil it, and to this point only the laws pertaining to the Temple and to organisation of the Jewish people were abolished because A) there was no more Temple, and B) salvation came first for the Jews and then for the gentiles making any prescriptions addressed solely for the Jews (like dietary laws and others) moot. It is not as you claim that "everything was overwritten", Jesus Christ indeed makes the insinuation that Moses himself softened the laws (particularly divorce) to please his people, and this was a very serious and even scandalous charge which ultimately means that Christ came to correct the Law (which, again, we do have sufficient theological understanding to know what exactly was mended).
This idea that the Christian man is a terminally hippy pacifist is not only wrong, it is heretical. We are not commanded to tolerate sin but correct with love and firm justice. St. Augustine penned the Just War theory, he was a Saint and not only a Doctor of the Church but also a Church Father that developed a substantial amount of the doctrine that we study today. And again, we have corroboration from independent Church traditions that the Crusades were, indeed, just; also, we have many miracles and graces that attest this from even the Heavens above. Of course you should be weary of anyone who does violence in the name of Our Lord, but you must understand that this is why we have a Papacy or at the very least a Patriarchy, we're not all enlightened protestants who are the church of themselves and can practice self-righteous violence on shaky theological grounds, but a Pope is not the dictator of the Church, he is the humble servant of the Most High and is in the unfortunate position of having to play politics and protect Christendom. The Mother Church has lost Her command over armies, but the church militant are called for heroic, saintly lives, we are not expected to let sin run rampant but to combat it. And, of course, the single most propagandised against Church has to deal with a fair share of revisionist history: people ignore the fact that there was such a thing as protestant and schismatic inquisitions, the Anglican Church was notorious for hanging, drawing and quartering Catholic clergymen, the protestants sacked, raped and persecuted tens of thousands (in the words of Martin Luther, "it is more important to fight good works than it is fighting sin"), the Judaizers in the New World were notorious for the witch hunts like what they did in Salem... meanwhile, the Tribunal of Holy Office (commonly known as "Inquisitions") in Spain and Portugal operated for over two centuries and sentenced to death an average of 4 people per year, with the vast majority of the heretics being sentenced during the first two years of this institution, and witch hunting was condemned in almost all episcopates and deemed a silly folk superstition.
We have historical hindsight to better understand some of the failings of the Mother Church, like Her condemnation of the Templar Order, but we do not count (generally speaking) the Crusades among them. The Petrine Office is a tragic one because the Pope, a man that piously preaches to the lay faithful that we are not of this world, is obligated to play world politics with varying degrees of success. Things only become black or white with the benefit of historical distance, the zealous leaders of the Church, however, had to navigate through the fog of war. Mistakes were made? Of course. They are humans and they are sinners in need of a Saviour. But they were also tasked with dealing with unsavoury situations to the best of their abilities, and the doctrine in no uncertain terms does not prohibit the waging of defensive wars.