No great mystery here. There are three major divisions in the Christian Church based on historical circumstance: the Eastern Orthodox, the Western Catholic, and the Protestant, which split from the Catholic stream.
All three accept the Bible as authoritative, the older streams accepting as canonical the few Old Testament apocrypha which the Protestants consider only as “edifying” because they do not appear in the Hebrew canon, but only the Greek Septuagint.
The major doctrines arising from that are summarised in the historic creeds, which all three accept, and in the decisions of Ecumenical Church Councils, which are pretty much agreed among the three for the first 4 centuries or so, when the major doctrines of the Trinity, Christology and some more were settled.
After that, as the East and West were becoming estranged (linked to the separation of the Eastern and Western empire on linguistic and political grounds) councils began to differ on less central issues. The Protestants of course were a reforming movement, and consciously adopted the decisions of the early councils together with the canon of Scripture.
A similar historic unity has existed regarding the early orthodox “Fathers,” of east and west, from the “apostolic Fathers” like Irenaeus through to later figures like Athanasius and Augustine and the Cappadocian Fathers. You’ll find these guys quoted as much by Calvin as by the Orthodox and Catholics, though the traditions vary as to how their authority is balanced with Scripture or the Councils. To the Protestant, they are subordinate to Scripture, and that is pretty much how the Fathers would have seen themselves, as well.
“Modernism” has tended to increase historical divsiions more than elide them: apart from the long assault on the authority of Scripture, and the doubts cast on the reliability of traditions even when shared by the major divisions, one has phenomena like the recent Russian Orthodox’s rejection of Augustine because he was Latin-speaking and western, though he was regarded previously very highly.
That unity on major doctrines is real is shown by the relative ease with which dissatisfied Christians sometimes move between them without changing their core beliefs. One of my friends, dissatisfied with the wooliness and innovations in the Baptist church, converted to Catholicism in the belief that it better preserves both the original teachings, and the authroity-structures to defend them. His wife remained a Baptist with a Charismatic bent, and they both consider each other orthodox (small “o”) Christians, whilst probably disagreeing on the Pope, the Virgin Mary’s role and so on.
For myself, I’m a Baptist elder, and have no hesitation in in reading and teaching from Orthodox or Catholic sources, old and new, whilst being careful to say where I disagree, and why. In that respect it’s very parallel to the way science was in its hay-day, before governments and corporations got control of the funding.