In actual fact, there is an unbroken continuity between the Orthodox Church and the Apostles. The Church has "changed" in some ways over the years. She has clarified dogmas, for example. But the line is unbroken.
Well, the Epistles like from Peter, Jude and John are very Jewish (note: The word Jewish does not mean Pharisaic), Revelation is especially Jewish, but Paul perhaps not so much but even that is debated heavily, but the Gospels, including Luke, are heavily Jewish, emphasizing Jewish Law and the Torah, such as Luke 16:17, and then Matthew, the most Jewish of them all. There may be something to be said about them being "Greek" but they aren't anywhere close to "gentile" by the use of the word "Greek", which is a slippery Semantic when discussing them. John and Mark's Jewishness is debated but there's good reason to believe they were in fact in line completely with Jewish law and written to people who were already familiar with it, but opposed to the Pharisees' version of it. As for "Clarifying Dogmas", who wrote those Dogmas? . Who exactly got to decide how to "clarify" Dogma? The first 15 bishops of Jerusalem were circumcised Jews! James the Just is widely regarded as extremely Jewish. Was he wrong? Did doctrine change?
However, with that said, there's really no reason to believe the chain between the Orthodox Church and the Nazarene Jews who were the original apostles is unbroken. Perhaps that's something you can believe freely within the orthodox church, but you'll have no weight with that line of thought with anyone outside of it.
But perhaps this topic is best reserved for another thread as its getting off the subject of the Trinity.